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10152316564 = 22131723499327
BaseRepresentation
bin10010111010010000…
…00000111010010100
3222012112101010011121
421131020000322110
5131242443112224
64355223213324
7506404160365
oct113510007224
928175333147
1010152316564
11433a799775
121b73ba7244
13c5a41a910
146c4491b6c
153e6448be4
hex25d200e94

10152316564 has 48 divisors (see below), whose sum is σ = 21139550208. Its totient is φ = 4218306048.

The previous prime is 10152316543. The next prime is 10152316589. The reversal of 10152316564 is 46561325101.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 15 ways as a sum of consecutive naturals, for example, 229332 + ... + 269995.

It is an arithmetic number, because the mean of its divisors is an integer number (440407296).

Almost surely, 210152316564 is an apocalyptic number.

It is an amenable number.

10152316564 is an abundant number, since it is smaller than the sum of its proper divisors (10987233644).

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

10152316564 is a wasteful number, since it uses less digits than its factorization.

10152316564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499384 (or 499382 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 10152316564 in words is "ten billion, one hundred fifty-two million, three hundred sixteen thousand, five hundred sixty-four".

Divisors: 1 2 4 13 17 23 26 34 46 52 68 92 221 299 391 442 598 782 884 1196 1564 5083 10166 20332 499327 998654 1997308 6491251 8488559 11484521 12982502 16977118 22969042 25965004 33954236 45938084 110351267 149298773 195236857 220702534 298597546 390473714 441405068 597195092 780947428 2538079141 5076158282 10152316564