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252650385396 = 2232109173372173
BaseRepresentation
bin1110101101001100100…
…0101110111111110100
3220011010122021101101100
43223103020232333310
513114411444313041
6312022130330100
724152624561613
oct3532310567764
9804118241340
10252650385396
119816a613002
1240b70129930
131aa951c3786
14c32a80b87a
15688a84d6b6
hex3ad322eff4

252650385396 has 72 divisors (see below), whose sum is σ = 648230342760. Its totient is φ = 82961604864.

The previous prime is 252650385391. The next prime is 252650385413. The reversal of 252650385396 is 693583056252.

252650385396 is a `hidden beast` number, since 2 + 5 + 26 + 50 + 38 + 539 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39239648100 + 213410737296 = 198090^2 + 461964^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252650385391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 492766 + ... + 864938.

It is an arithmetic number, because the mean of its divisors is an integer number (9003199205).

Almost surely, 2252650385396 is an apocalyptic number.

It is an amenable number.

252650385396 is an abundant number, since it is smaller than the sum of its proper divisors (395579957364).

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

252650385396 is a wasteful number, since it uses less digits than its factorization.

252650385396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372465 (or 372460 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 252650385396 in words is "two hundred fifty-two billion, six hundred fifty million, three hundred eighty-five thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 109 173 218 327 346 436 519 654 692 981 1038 1308 1557 1962 2076 3114 3924 6228 18857 37714 56571 75428 113142 169713 226284 339426 372173 678852 744346 1116519 1488692 2233038 3349557 4466076 6699114 13398228 40566857 64385929 81133714 121700571 128771858 162267428 193157787 243401142 257543716 365101713 386315574 486802284 579473361 730203426 772631148 1158946722 1460406852 2317893444 7018066261 14036132522 21054198783 28072265044 42108397566 63162596349 84216795132 126325192698 252650385396