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21530616372 = 2233318837283
BaseRepresentation
bin10100000011010100…
…110010001000110100
32001120111122122012000
4110003110302020310
5323043314210442
613520243455300
71361356135206
oct240324621064
961514578160
1021530616372
119149520831
12420a687530
1320518295b5
1410836b8776
15860311d4c
hex503532234

21530616372 has 96 divisors (see below), whose sum is σ = 57693941760. Its totient is φ = 6936541920.

The previous prime is 21530616343. The next prime is 21530616383. The reversal of 21530616372 is 27361603512.

21530616372 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 0 + 616 + 37 + 2 = 666.

It is a super-3 number, since 3×215306163723 (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2952643 + ... + 2959925.

It is an arithmetic number, because the mean of its divisors is an integer number (600978560).

Almost surely, 221530616372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21530616372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28846970880).

21530616372 is an abundant number, since it is smaller than the sum of its proper divisors (36163325388).

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

21530616372 is a wasteful number, since it uses less digits than its factorization.

21530616372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8210 (or 8202 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 21530616372 in words is "twenty-one billion, five hundred thirty million, six hundred sixteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 883 1116 1674 1766 2649 3348 3532 5298 7283 7947 10596 14566 15894 21849 23841 27373 29132 31788 43698 47682 54746 65547 82119 87396 95364 109492 131094 164238 196641 225773 246357 262188 328476 393282 451546 492714 677319 739071 786564 903092 985428 1354638 1478142 2031957 2709276 2956284 4063914 6095871 6430889 8127828 12191742 12861778 19292667 24383484 25723556 38585334 57878001 77170668 115756002 173634003 199357559 231512004 347268006 398715118 598072677 694536012 797430236 1196145354 1794218031 2392290708 3588436062 5382654093 7176872124 10765308186 21530616372