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252116350033056 = 2532626211979511
BaseRepresentation
bin111001010100110001101001…
…011111000101110010100000
31020001200002100220202020210220
4321110301221133011302200
5231021133241102024211
62252112352520523040
7104050543116355245
oct7124615137056240
91201602326666726
10252116350033056
1173371a41a30133
1224339a07620480
13aa8a6151a7112
1446386d43895cc
151e231d1500806
hexe54c697c5ca0

252116350033056 has 24 divisors (see below), whose sum is σ = 661805418837024. Its totient is φ = 84038783344320.

The previous prime is 252116350033033. The next prime is 252116350033081. The reversal of 252116350033056 is 650330053611252.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2521163500330562 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252116350032999 and 252116350033017.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1313105989660 + ... + 1313105989851.

It is an arithmetic number, because the mean of its divisors is an integer number (27575225784876).

Almost surely, 2252116350033056 is an apocalyptic number.

It is an amenable number.

252116350033056 is an abundant number, since it is smaller than the sum of its proper divisors (409689068803968).

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

252116350033056 is a wasteful number, since it uses less digits than its factorization.

252116350033056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626211979524 (or 2626211979516 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

The spelling of 252116350033056 in words is "two hundred fifty-two trillion, one hundred sixteen billion, three hundred fifty million, thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2626211979511 5252423959022 7878635938533 10504847918044 15757271877066 21009695836088 31514543754132 42019391672176 63029087508264 84038783344352 126058175016528 252116350033056