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125629642242 = 232131075017559
BaseRepresentation
bin111010100000000011…
…1000011011000000010
3110000021100100001211200
41311000013003120002
54024242142022432
6133414035122030
712035135224356
oct1650007033002
9400240301750
10125629642242
1149308726715
1220421143316
13bb0161ca20
14611aca9466
153404332a7c
hex1d401c3602

125629642242 has 48 divisors (see below), whose sum is σ = 295875478080. Its totient is φ = 38294002656.

The previous prime is 125629642231. The next prime is 125629642249. The reversal of 125629642242 is 242246926521.

125629642242 is a `hidden beast` number, since 1 + 2 + 562 + 9 + 6 + 42 + 2 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (125629642249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2483742 + ... + 2533817.

It is an arithmetic number, because the mean of its divisors is an integer number (6164072460).

Almost surely, 2125629642242 is an apocalyptic number.

125629642242 is an abundant number, since it is smaller than the sum of its proper divisors (170245835838).

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

125629642242 is a wasteful number, since it uses less digits than its factorization.

125629642242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5017687 (or 5017684 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 125629642242 in words is "one hundred twenty-five billion, six hundred twenty-nine million, six hundred forty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 107 117 214 234 321 642 963 1391 1926 2782 4173 8346 12519 25038 5017559 10035118 15052677 30105354 45158031 65228267 90316062 130456534 195684801 391369602 536878813 587054403 1073757626 1174108806 1610636439 3221272878 4831909317 6979424569 9663818634 13958849138 20938273707 41876547414 62814821121 125629642242