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125160460216 = 23118340794201
BaseRepresentation
bin111010010010000100…
…1010000111110111000
3102222001122111011002121
41310210021100332320
54022312034211331
6133255315011024
712020410233631
oct1644411207670
9388048434077
10125160460216
11490978a9280
122030bb99a74
13ba5836801c
1460b4856888
1533c8055c11
hex1d24250fb8

125160460216 has 64 divisors (see below), whose sum is σ = 259219699200. Its totient is φ = 56178528000.

The previous prime is 125160460207. The next prime is 125160460219. The reversal of 125160460216 is 612064061521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125160460219) by changing a digit.

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, 29790916 + ... + 29795116.

It is an arithmetic number, because the mean of its divisors is an integer number (4050307800).

Almost surely, 2125160460216 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 125160460216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129609849600).

125160460216 is an abundant number, since it is smaller than the sum of its proper divisors (134059238984).

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

125160460216 is a wasteful number, since it uses less digits than its factorization.

125160460216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8380 (or 8376 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 125160460216 in words is "one hundred twenty-five billion, one hundred sixty million, four hundred sixty thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 22 44 83 88 166 332 664 913 1826 3652 4079 4201 7304 8158 8402 16316 16804 32632 33608 44869 46211 89738 92422 179476 184844 338557 348683 358952 369688 677114 697366 1354228 1394732 2708456 2789464 3724127 3835513 7448254 7671026 14896508 15342052 17135879 29793016 30684104 34271758 68543516 137087032 188494669 376989338 753978676 1422277957 1507957352 2844555914 5689111828 11378223656 15645057527 31290115054 62580230108 125160460216