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125234424264 = 23323691328327
BaseRepresentation
bin111010010100010001…
…1011010100111001000
3102222020210122220200210
41310220203122213020
54022440003034024
6133310520201120
712022266020355
oct1645043324710
9388223586623
10125234424264
1149125627594
12203309091a0
13ba6a793c31
1460c05cb62c
1533ce7b6129
hex1d288da9c8

125234424264 has 64 divisors (see below), whose sum is σ = 327172285440. Its totient is φ = 39871909440.

The previous prime is 125234424257. The next prime is 125234424349. The reversal of 125234424264 is 462424432521.

It is a super-2 number, since 2×1252344242642 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 217269 + ... + 545595.

It is an arithmetic number, because the mean of its divisors is an integer number (5112066960).

Almost surely, 2125234424264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125234424264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163586142720).

125234424264 is an abundant number, since it is smaller than the sum of its proper divisors (201937861176).

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

125234424264 is a wasteful number, since it uses less digits than its factorization.

125234424264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329050 (or 329046 counting only the distinct ones).

The product of its digits is 368640, while the sum is 39.

Adding to 125234424264 its reverse (462424432521), we get a palindrome (587658856785).

The spelling of 125234424264 in words is "one hundred twenty-five billion, two hundred thirty-four million, four hundred twenty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 691 1382 2073 2764 4146 5528 8292 15893 16584 31786 47679 63572 95358 127144 190716 328327 381432 656654 984981 1313308 1969962 2626616 3939924 7551521 7879848 15103042 22654563 30206084 45309126 60412168 90618252 181236504 226873957 453747914 680621871 907495828 1361243742 1814991656 2722487484 5218101011 5444974968 10436202022 15654303033 20872404044 31308606066 41744808088 62617212132 125234424264