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125217023296 = 2631521121139
BaseRepresentation
bin111010010011110000…
…1000010010101000000
3102222012120220212001111
41310213201002111000
54022421024221141
6133305055213104
712021665064601
oct1644741022500
9388176825044
10125217023296
1149116821a22
1220326b17194
13ba66cb07c1
1460bc17bda8
1533cceca381
hex1d27842540

125217023296 has 56 divisors (see below), whose sum is σ = 256987365120. Its totient is φ = 60472089600.

The previous prime is 125217023279. The next prime is 125217023377. The reversal of 125217023296 is 692320712521.

It is a super-2 number, since 2×1252170232962 (a number of 23 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 7 ways as a sum of consecutive naturals, for example, 973095 + ... + 1094233.

Almost surely, 2125217023296 is an apocalyptic number.

125217023296 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 125217023296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128493682560).

125217023296 is an abundant number, since it is smaller than the sum of its proper divisors (131770341824).

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

125217023296 is a wasteful number, since it uses less digits than its factorization.

125217023296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121703 (or 121693 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 125217023296 in words is "one hundred twenty-five billion, two hundred seventeen million, twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 521 992 1042 1984 2084 4168 8336 16151 16672 32302 33344 64604 121139 129208 242278 258416 484556 516832 969112 1033664 1938224 3755309 3876448 7510618 7752896 15021236 30042472 60084944 63113419 120169888 126226838 240339776 252453676 504907352 1009814704 1956515989 2019629408 3913031978 4039258816 7826063956 15652127912 31304255824 62608511648 125217023296