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10807371904 = 27779152681
BaseRepresentation
bin10100001000010101…
…10110100010000000
31000220011222101011111
422010022312202000
5134113141400104
64544223253104
7531550100620
oct120412664200
930804871144
1010807371904
11464653051a
12211744a194
131033051924
1474748a880
15433bde404
hex2842b6880

10807371904 has 64 divisors (see below), whose sum is σ = 24917702400. Its totient is φ = 4573071360.

The previous prime is 10807371899. The next prime is 10807371929. The reversal of 10807371904 is 40917370801.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5557 + ... + 147124.

It is an arithmetic number, because the mean of its divisors is an integer number (389339100).

Almost surely, 210807371904 is an apocalyptic number.

10807371904 is a gapful number since it is divisible by the number (14) 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 10807371904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12458851200).

10807371904 is an abundant number, since it is smaller than the sum of its proper divisors (14110330496).

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

10807371904 is an equidigital number, since it uses as much as digits as its factorization.

10807371904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152781 (or 152769 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The spelling of 10807371904 in words is "ten billion, eight hundred seven million, three hundred seventy-one thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 128 158 224 316 448 553 632 896 1106 1264 2212 2528 4424 5056 8848 10112 17696 35392 70784 152681 305362 610724 1068767 1221448 2137534 2442896 4275068 4885792 8550136 9771584 12061799 17100272 19543168 24123598 34200544 48247196 68401088 84432593 96494392 136802176 168865186 192988784 337730372 385977568 675460744 771955136 1350921488 1543910272 2701842976 5403685952 10807371904