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10807538256 = 243275052349
BaseRepresentation
bin10100001000010110…
…11111001001010000
31000220012021211100200
422010023133021100
5134113212211011
64544231015200
7531551362614
oct120413371120
930805254320
1010807538256
1146466344a9
12211750a500
1310330ac568
147474d1344
15433c23856
hex2842df250

10807538256 has 30 divisors (see below), whose sum is σ = 30246097050. Its totient is φ = 3602512704.

The previous prime is 10807538221. The next prime is 10807538293. The reversal of 10807538256 is 65283570801.

10807538256 is a `hidden beast` number, since 10 + 80 + 7 + 538 + 25 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7923848256 + 2883690000 = 89016^2 + 53700^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37526031 + ... + 37526318.

It is an arithmetic number, because the mean of its divisors is an integer number (1008203235).

Almost surely, 210807538256 is an apocalyptic number.

10807538256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10807538256 is an abundant number, since it is smaller than the sum of its proper divisors (19438558794).

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

10807538256 is a wasteful number, since it uses less digits than its factorization.

10807538256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75052363 (or 75052354 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10807538256 in words is "ten billion, eight hundred seven million, five hundred thirty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 75052349 150104698 225157047 300209396 450314094 600418792 675471141 900628188 1200837584 1350942282 1801256376 2701884564 3602512752 5403769128 10807538256