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125536125407 = 72112389113779
BaseRepresentation
bin111010011101010001…
…0010100000111011111
3110000000211100220212012
41310322202110013133
54024044222003112
6133400454501435
712032621313500
oct1647242240737
9400024326765
10125536125407
114926a963080
12203b596487b
13bab8139114
14610c6c4ba7
1533eb00e022
hex1d3a8941df

125536125407 has 48 divisors (see below), whose sum is σ = 168103123200. Its totient is φ = 92515167360.

The previous prime is 125536125389. The next prime is 125536125431. The reversal of 125536125407 is 704521635521.

It is not a de Polignac number, because 125536125407 - 26 = 125536125343 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125536125107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1046444 + ... + 1160222.

It is an arithmetic number, because the mean of its divisors is an integer number (3502148400).

Almost surely, 2125536125407 is an apocalyptic number.

125536125407 is a deficient number, since it is larger than the sum of its proper divisors (42566997793).

125536125407 is a wasteful number, since it uses less digits than its factorization.

125536125407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113916 (or 113909 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 41.

The spelling of 125536125407 in words is "one hundred twenty-five billion, five hundred thirty-six million, one hundred twenty-five thousand, four hundred seven".

Divisors: 1 7 11 23 49 77 89 161 253 539 623 979 1127 1771 2047 4361 6853 12397 14329 22517 47971 100303 113779 157619 796453 1103333 1251569 2616917 5575171 8760983 10126331 18318419 28786087 61326881 70884317 111389641 128228933 201502609 232905613 496190219 779727487 1410518263 1630339291 2561961743 5458092409 11412375037 17933732201 125536125407