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125107072636 = 227513257557
BaseRepresentation
bin111010010000011110…
…1100110111001111100
3102221220221000210002211
41310200331212321330
54022204402311021
6133250130430204
712016161400000
oct1644075467174
9387827023084
10125107072636
114906a754407
12202b6132364
13ba4a294a40
1460ab71a700
1533c350c3e1
hex1d20f66e7c

125107072636 has 144 divisors (see below), whose sum is σ = 276638918976. Its totient is φ = 49211817984.

The previous prime is 125107072633. The next prime is 125107072661. The reversal of 125107072636 is 636270701521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125107072631) 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, 224608470 + ... + 224609026.

It is an arithmetic number, because the mean of its divisors is an integer number (1921103604).

Almost surely, 2125107072636 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 125107072636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138319459488).

125107072636 is an abundant number, since it is smaller than the sum of its proper divisors (151531846340).

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

125107072636 is an equidigital number, since it uses as much as digits as its factorization.

125107072636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 125107072636 in words is "one hundred twenty-five billion, one hundred seven million, seventy-two thousand, six hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 257 343 364 514 557 637 686 1028 1114 1274 1372 1799 2228 2401 2548 3341 3598 3899 4459 4802 6682 7196 7241 7798 8918 9604 12593 13364 14482 15596 16807 17836 23387 25186 27293 28964 31213 33614 46774 50372 50687 54586 62426 67228 88151 93548 101374 109172 124852 143149 163709 176302 191051 202748 218491 286298 327418 352604 354809 382102 436982 572596 617057 654836 709618 764204 873964 1002043 1145963 1234114 1337357 1419236 1860937 2004086 2291926 2468228 2483663 2674714 3721874 4008172 4319399 4583852 4967326 5349428 7014301 7443748 8021741 8638798 9361499 9934652 13026559 14028602 16043482 17277596 17385641 18722998 26053118 28057204 32086964 34771282 37445996 49100107 52106236 56152187 69542564 91185913 98200214 112304374 121699487 182371826 196400428 224608748 243398974 343700749 364743652 486797948 638301391 687401498 1276602782 1374802996 2405905243 2553205564 4468109737 4811810486 8936219474 9623620972 17872438948 31276768159 62553536318 125107072636