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21150215336052 = 2232111019254320611
BaseRepresentation
bin1001100111100011010110…
…00100100111000001110100
32202212221101212112122112200
410303301223010213001310
510233011120111223202
6112552135204344500
74312024024042035
oct463615304470164
982787355478480
1021150215336052
116814835199260
1224570783a5130
13ba55c26255ba
145319668aaa8c
1526a274064e1c
hex133c6b127074

21150215336052 has 144 divisors (see below), whose sum is σ = 58406347883520. Its totient is φ = 6400038139200.

The previous prime is 21150215336051. The next prime is 21150215336053. The reversal of 21150215336052 is 25063351205112.

21150215336052 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 0 + 2 + 15 + 33 + 605 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (21150215336051) and next prime (21150215336053).

It is a super-2 number, since 2×211502153360522 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21150215335998 and 21150215336016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21150215336051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1026151227 + ... + 1026171837.

It is an arithmetic number, because the mean of its divisors is an integer number (405599638080).

Almost surely, 221150215336052 is an apocalyptic number.

21150215336052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21150215336052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29203173941760).

21150215336052 is an abundant number, since it is smaller than the sum of its proper divisors (37256132547468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21150215336052 is a wasteful number, since it uses less digits than its factorization.

21150215336052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24194 (or 24189 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 21150215336052 in words is "twenty-one trillion, one hundred fifty billion, two hundred fifteen million, three hundred thirty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1019 2038 2543 3057 4076 5086 6114 7629 9171 10172 11209 12228 15258 18342 20611 22418 22887 27973 30516 33627 36684 41222 44836 45774 55946 61833 67254 82444 83919 91548 100881 111892 123666 134508 167838 185499 201762 226721 247332 251757 335676 370998 403524 453442 503514 680163 741996 906884 1007028 1360326 2040489 2591317 2720652 4080978 5182634 7773951 8161956 10365268 15547902 21002609 23321853 28504487 31095804 42005218 46643706 52413773 57008974 63007827 84010436 85513461 93287412 104827546 114017948 126015654 157241319 171026922 189023481 209655092 231028699 252031308 256540383 314482638 342053844 378046962 462057398 471723957 513080766 576551503 628965276 693086097 756093924 924114796 943447914 1026161532 1153103006 1386172194 1729654509 1886895828 2079258291 2306206012 2772344388 3459309018 4158516582 5188963527 6918618036 8317033164 10377927054 20755854108 53409634687 106819269374 160228904061 213638538748 320457808122 480686712183 587505981557 640915616244 961373424366 1175011963114 1762517944671 1922746848732 2350023926228 3525035889342 5287553834013 7050071778684 10575107668026 21150215336052