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125393262048 = 25321093398347
BaseRepresentation
bin111010011001000000…
…1010101010111100000
3102222122212112201011200
41310302001111113200
54023301133341143
6133334352441200
712026235066315
oct1646201252740
9388585481150
10125393262048
11491a725578a
1220375b49200
13ba946686a2
1460d7736d0c
1533dd6de1d3
hex1d320555e0

125393262048 has 72 divisors (see below), whose sum is σ = 356914231128. Its totient is φ = 41759407872.

The previous prime is 125393262041. The next prime is 125393262091. The reversal of 125393262048 is 840262393521.

125393262048 is a `hidden beast` number, since 12 + 5 + 3 + 9 + 3 + 2 + 620 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 125393261994 and 125393262012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125393262041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115611 + ... + 513957.

It is an arithmetic number, because the mean of its divisors is an integer number (4957142099).

Almost surely, 2125393262048 is an apocalyptic number.

125393262048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

125393262048 is an abundant number, since it is smaller than the sum of its proper divisors (231520969080).

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

125393262048 is a wasteful number, since it uses less digits than its factorization.

125393262048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399456 (or 399445 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 125393262048 in words is "one hundred twenty-five billion, three hundred ninety-three million, two hundred sixty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1093 2186 3279 4372 6558 8744 9837 13116 17488 19674 26232 34976 39348 52464 78696 104928 157392 314784 398347 796694 1195041 1593388 2390082 3186776 3585123 4780164 6373552 7170246 9560328 12747104 14340492 19120656 28680984 38241312 57361968 114723936 435393271 870786542 1306179813 1741573084 2612359626 3483146168 3918539439 5224719252 6966292336 7837078878 10449438504 13932584672 15674157756 20898877008 31348315512 41797754016 62696631024 125393262048