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125628486912 = 283261893873
BaseRepresentation
bin111010100000000001…
…0101001010100000000
3110000021021011101000200
41311000002221110000
54024241343040122
6133413554245200
712035122343145
oct1650002512400
9400237141020
10125628486912
11493080076a5
1220420886800
13bb01306bb6
14611aa883cc
1534041a55ac
hex1d400a9500

125628486912 has 108 divisors (see below), whose sum is σ = 368156308884. Its totient is φ = 41189621760.

The previous prime is 125628486911. The next prime is 125628486941. The reversal of 125628486912 is 219684826521.

125628486912 is a `hidden beast` number, since 1 + 2 + 5 + 628 + 4 + 8 + 6 + 9 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65159709696 + 60468777216 = 255264^2 + 245904^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125628486911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306393 + ... + 587480.

Almost surely, 2125628486912 is an apocalyptic number.

125628486912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125628486912 is an abundant number, since it is smaller than the sum of its proper divisors (242527821972).

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

125628486912 is an equidigital number, since it uses as much as digits as its factorization.

125628486912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893956 (or 893939 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 125628486912 in words is "one hundred twenty-five billion, six hundred twenty-eight million, four hundred eighty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 366 384 488 549 576 732 768 976 1098 1152 1464 1952 2196 2304 2928 3904 4392 5856 7808 8784 11712 15616 17568 23424 35136 46848 70272 140544 893873 1787746 2681619 3575492 5363238 7150984 8044857 10726476 14301968 16089714 21452952 28603936 32179428 42905904 54526253 57207872 64358856 85811808 109052506 114415744 128717712 163578759 171623616 218105012 228831488 257435424 327157518 343247232 436210024 490736277 514870848 654315036 686494464 872420048 981472554 1029741696 1308630072 1744840096 1962945108 2059483392 2617260144 3489680192 3925890216 5234520288 6979360384 7851780432 10469040576 13958720768 15703560864 20938081152 31407121728 41876162304 62814243456 125628486912