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21621263336145 = 3251126176435733
BaseRepresentation
bin1001110101010000101111…
…01110001000001011010001
32211112222021000110101021100
410322220113232020023101
510313220321403224040
6113552400554015013
74361041030011414
oct472502756101321
984488230411240
1021621263336145
116986587540700
122512419417469
13c0ab51553485
1454a690929b7b
15277643082b30
hex13aa17b882d1

21621263336145 has 72 divisors (see below), whose sum is σ = 41260340190888. Its totient is φ = 10466044807680.

The previous prime is 21621263336089. The next prime is 21621263336177. The reversal of 21621263336145 is 54163336212612.

21621263336145 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 1 + 2 + 633 + 3 + 6 + 1 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5542504704 + 21615720831441 = 74448^2 + 4649271^2 .

It is not a de Polignac number, because 21621263336145 - 222 = 21621259141841 is a prime.

It is a super-2 number, since 2×216212633361452 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 21621263336145.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141699 + ... + 6577431.

It is an arithmetic number, because the mean of its divisors is an integer number (573060280429).

Almost surely, 221621263336145 is an apocalyptic number.

It is an amenable number.

21621263336145 is a deficient number, since it is larger than the sum of its proper divisors (19639076854743).

21621263336145 is a wasteful number, since it uses less digits than its factorization.

21621263336145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6436383 (or 6436369 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

Adding to 21621263336145 its reverse (54163336212612), we get a palindrome (75784599548757).

The spelling of 21621263336145 in words is "twenty-one trillion, six hundred twenty-one billion, two hundred sixty-three million, three hundred thirty-six thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 363 495 605 617 1089 1815 1851 3085 5445 5553 6787 9255 20361 27765 33935 61083 74657 101805 223971 305415 373285 671913 1119855 3359565 6435733 19307199 32178665 57921597 70793063 96535995 212379189 289607985 353965315 637137567 778723693 1061895945 2336171079 3185687835 3893618465 3970847261 7008513237 11680855395 11912541783 19854236305 35042566185 35737625349 43679319871 59562708915 131037959613 178688126745 218396599355 393113878839 480472518581 655189798065 1441417555743 1965569394195 2402362592905 4324252667229 7207087778715 21621263336145