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21515997672 = 23321338959093
BaseRepresentation
bin10100000010011101…
…000001000111101000
32001112111010221002200
4110002131001013220
5323031043411142
613515002300200
71361120651121
oct240235010750
961474127080
1021515997672
119141246564
1242057b7660
13204b7ab690
141081791048
1585ddc564c
hex5027411e8

21515997672 has 96 divisors (see below), whose sum is σ = 62917381800. Its totient is φ = 6603176448.

The previous prime is 21515997661. The next prime is 21515997707. The reversal of 21515997672 is 27679951512.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17791824996 + 3724172676 = 133386^2 + 61026^2 .

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 23 ways as a sum of consecutive naturals, for example, 334558 + ... + 393650.

Almost surely, 221515997672 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 21515997672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31458690900).

21515997672 is an abundant number, since it is smaller than the sum of its proper divisors (41401384128).

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

21515997672 is a wasteful number, since it uses less digits than its factorization.

21515997672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59507 (or 59500 counting only the distinct ones).

The product of its digits is 2381400, while the sum is 54.

The spelling of 21515997672 in words is "twenty-one billion, five hundred fifteen million, nine hundred ninety-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 389 468 778 936 1167 1556 2334 3112 3501 4668 5057 7002 9336 10114 14004 15171 20228 28008 30342 40456 45513 59093 60684 91026 118186 121368 177279 182052 236372 354558 364104 472744 531837 709116 768209 1063674 1418232 1536418 2127348 2304627 3072836 4254696 4609254 6145672 6913881 9218508 13827762 18437016 22987177 27655524 45974354 55311048 68961531 91948708 137923062 183897416 206884593 275846124 298833301 413769186 551692248 597666602 827538372 896499903 1195333204 1655076744 1792999806 2390666408 2689499709 3585999612 5378999418 7171999224 10757998836 21515997672