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125829726920 = 23513722961629
BaseRepresentation
bin111010100110000001…
…0010100001011001000
3110000210021211102102022
41311030002110023020
54030144402230140
6133445543424012
712043115013542
oct1651402241310
9400707742368
10125829726920
1149400667257
1220478155008
13bb33c06721
1461396b0692
153416ba70b5
hex1d4c0942c8

125829726920 has 32 divisors (see below), whose sum is σ = 285183444600. Its totient is φ = 49964502528.

The previous prime is 125829726899. The next prime is 125829726937. The reversal of 125829726920 is 29627928521.

It can be written as a sum of positive squares in 4 ways, for example, as 63656299204 + 62173427716 = 252302^2 + 249346^2 .

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, 11475335 + ... + 11486294.

Almost surely, 2125829726920 is an apocalyptic number.

125829726920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125829726920 is an abundant number, since it is smaller than the sum of its proper divisors (159353717680).

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

125829726920 is a wasteful number, since it uses less digits than its factorization.

125829726920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22961777 (or 22961773 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 53.

The spelling of 125829726920 in words is "one hundred twenty-five billion, eight hundred twenty-nine million, seven hundred twenty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 137 274 548 685 1096 1370 2740 5480 22961629 45923258 91846516 114808145 183693032 229616290 459232580 918465160 3145743173 6291486346 12582972692 15728715865 25165945384 31457431730 62914863460 125829726920