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252363664525116 = 223353920107295541
BaseRepresentation
bin111001011000010111111110…
…100101000000011100111100
31020002112201201200121011121010
4321120113332211000130330
5231034211241104300431
62252422133400435220
7104104446603020634
oct7130277645003474
91202481650534533
10252363664525116
1173457913576531
1224379928778b10
13aaa7a39a84951
14464667625b6c4
151e29858698846
hexe585fe94073c

252363664525116 has 48 divisors (see below), whose sum is σ = 589046226088320. Its totient is φ = 84092984700480.

The previous prime is 252363664525111. The next prime is 252363664525213. The reversal of 252363664525116 is 611525466363252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252363664525111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 853756306 + ... + 854051846.

It is an arithmetic number, because the mean of its divisors is an integer number (12271796376840).

Almost surely, 2252363664525116 is an apocalyptic number.

It is an amenable number.

252363664525116 is an abundant number, since it is smaller than the sum of its proper divisors (336682561563204).

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

252363664525116 is a wasteful number, since it uses less digits than its factorization.

252363664525116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319194 (or 319192 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 57.

The spelling of 252363664525116 in words is "two hundred fifty-two trillion, three hundred sixty-three billion, six hundred sixty-four million, five hundred twenty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 3539 7078 10617 14156 20107 21234 40214 42468 60321 80428 120642 241284 295541 591082 886623 1182164 1773246 3546492 71158673 142317346 213476019 284634692 426952038 853904076 1045919599 2091839198 3137758797 4183678396 5942442887 6275517594 11884885774 12551035188 17827328661 23769771548 35654657322 71309314644 21030305377093 42060610754186 63090916131279 84121221508372 126181832262558 252363664525116