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10625308256 = 25431792241
BaseRepresentation
bin10011110010101000…
…10101011001100000
31000102111101120210102
421321110111121200
5133230034331011
64514201121532
7524206426043
oct117124253140
930374346712
1010625308256
1145627893a2
1220864892a8
131004407664
1472b216c5a
15422c2973b
hex279515660

10625308256 has 72 divisors (see below), whose sum is σ = 21614620104. Its totient is φ = 5138703360.

The previous prime is 10625308247. The next prime is 10625308273. The reversal of 10625308256 is 65280352601.

It is a super-2 number, since 2×106253082562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44088296 + ... + 44088536.

It is an arithmetic number, because the mean of its divisors is an integer number (300203057).

Almost surely, 210625308256 is an apocalyptic number.

10625308256 is a gapful number since it is divisible by the number (16) 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 10625308256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10807310052).

10625308256 is an abundant number, since it is smaller than the sum of its proper divisors (10989311848).

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

10625308256 is an equidigital number, since it uses as much as digits as its factorization.

10625308256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 10625308256 in words is "ten billion, six hundred twenty-five million, three hundred eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 43 86 172 179 241 344 358 482 688 716 964 1376 1432 1928 2864 3856 5728 7697 7712 10363 15394 20726 30788 32041 41452 43139 61576 64082 82904 86278 123152 128164 165808 172556 246304 256328 331616 345112 512656 690224 1025312 1377763 1380448 1854977 2755526 3709954 5511052 7419908 7721881 11022104 14839816 15443762 22044208 29679632 30887524 44088416 59359264 61775048 123550096 247100192 332040883 664081766 1328163532 2656327064 5312654128 10625308256