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10625378256 = 243325579619
BaseRepresentation
bin10011110010101001…
…00110011111010000
31000102111112010211000
421321110212133100
5133230044101011
64514202422000
7524210140113
oct117124463720
930374463730
1010625378256
114562826a49
122086501900
13100443048c
1472b23457a
15422c40356
hex2795267d0

10625378256 has 80 divisors (see below), whose sum is σ = 30513870400. Its totient is φ = 3540039552.

The previous prime is 10625378243. The next prime is 10625378279. The reversal of 10625378256 is 65287352601.

10625378256 is a `hidden beast` number, since 1 + 0 + 6 + 25 + 378 + 256 = 666.

10625378256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106253782562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1099815 + ... + 1109433.

It is an arithmetic number, because the mean of its divisors is an integer number (381423380).

Almost surely, 210625378256 is an apocalyptic number.

10625378256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10625378256 is an abundant number, since it is smaller than the sum of its proper divisors (19888492144).

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

10625378256 is a wasteful number, since it uses less digits than its factorization.

10625378256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12193 (or 12181 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 10625378256 in words is "ten billion, six hundred twenty-five million, three hundred seventy-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 2557 5114 7671 9619 10228 15342 19238 20456 23013 28857 30684 38476 40912 46026 57714 61368 69039 76952 86571 92052 115428 122736 138078 153904 173142 184104 230856 259713 276156 346284 368208 461712 519426 552312 692568 1038852 1104624 1385136 2077704 4155408 24595783 49191566 73787349 98383132 147574698 196766264 221362047 295149396 393532528 442724094 590298792 664086141 885448188 1180597584 1328172282 1770896376 2656344564 3541792752 5312689128 10625378256