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125365088928 = 2539733134171
BaseRepresentation
bin111010011000001010…
…1110111001010100000
3102222120220112100220210
41310300111313022200
54023221430321203
6133331504534120
712025443450042
oct1646025671240
9388526470823
10125365088928
1149192362912
1220368621340
13ba8b8830c1
1460d3ac1a92
1533daec6803
hex1d305772a0

125365088928 has 48 divisors (see below), whose sum is σ = 329119622496. Its totient is φ = 41783758080.

The previous prime is 125365088923. The next prime is 125365088941. The reversal of 125365088928 is 829880563521.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (125365088921) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 867283 + ... + 1001453.

It is an arithmetic number, because the mean of its divisors is an integer number (6856658802).

Almost surely, 2125365088928 is an apocalyptic number.

It is an amenable number.

125365088928 is an abundant number, since it is smaller than the sum of its proper divisors (203754533568).

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

125365088928 is a wasteful number, since it uses less digits than its factorization.

125365088928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143917 (or 143909 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 57.

The spelling of 125365088928 in words is "one hundred twenty-five billion, three hundred sixty-five million, eighty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 9733 19466 29199 38932 58398 77864 116796 134171 155728 233592 268342 311456 402513 467184 536684 805026 934368 1073368 1610052 2146736 3220104 4293472 6440208 12880416 1305886343 2611772686 3917659029 5223545372 7835318058 10447090744 15670636116 20894181488 31341272232 41788362976 62682544464 125365088928