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10125354368 = 27193409867
BaseRepresentation
bin10010110111000010…
…01010010110000000
3222010122122021222202
421123201022112000
5131214042314433
64352421252332
7505626043403
oct113341122600
928118567882
1010125354368
114326553668
121b66b640a8
13c5496a55c
146c0a73d3a
153e3dbeee8
hex25b84a580

10125354368 has 32 divisors (see below), whose sum is σ = 20276169960. Its totient is φ = 5036433408.

The previous prime is 10125354361. The next prime is 10125354389. The reversal of 10125354368 is 86345352101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10125354361) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 180230 + ... + 229637.

Almost surely, 210125354368 is an apocalyptic number.

It is an amenable number.

10125354368 is an abundant number, since it is smaller than the sum of its proper divisors (10150815592).

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

10125354368 is an equidigital number, since it uses as much as digits as its factorization.

10125354368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410074 (or 410062 counting only the distinct ones).

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

The spelling of 10125354368 in words is "ten billion, one hundred twenty-five million, three hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 193 386 772 1544 3088 6176 12352 24704 409867 819734 1639468 3278936 6557872 13115744 26231488 52462976 79104331 158208662 316417324 632834648 1265669296 2531338592 5062677184 10125354368