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252233153432013 = 31347711938123091
BaseRepresentation
bin111001010110011110011011…
…100000101100100111001101
31020002002020212010221201001010
4321112132123200230213031
5231030041444234311023
62252242151103035433
7104062146452025135
oct7126363340544715
91202066763851033
10252233153432013
1173407530453606
122435858489bb79
13aa9863b042a80
144640214d4dac5
151e2626aa2a093
hexe5679b82c9cd

252233153432013 has 32 divisors (see below), whose sum is σ = 375096590733312. Its totient is φ = 149778152395200.

The previous prime is 252233153432009. The next prime is 252233153432069. The reversal of 252233153432013 is 310234351332252.

It is a happy number.

It is not a de Polignac number, because 252233153432013 - 22 = 252233153432009 is a prime.

It is a super-2 number, since 2×2522331534320132 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252233153432413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 968931403 + ... + 969191688.

It is an arithmetic number, because the mean of its divisors is an integer number (11721768460416).

Almost surely, 2252233153432013 is an apocalyptic number.

It is an amenable number.

252233153432013 is a deficient number, since it is larger than the sum of its proper divisors (122863437301299).

252233153432013 is a wasteful number, since it uses less digits than its factorization.

252233153432013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938123225.

The product of its (nonzero) digits is 388800, while the sum is 39.

The spelling of 252233153432013 in words is "two hundred fifty-two trillion, two hundred thirty-three billion, one hundred fifty-three million, four hundred thirty-two thousand, thirteen".

Divisors: 1 3 13 39 47 71 141 213 611 923 1833 2769 3337 10011 43381 130143 1938123091 5814369273 25195600183 75586800549 91091785277 137606739461 273275355831 412820218383 1184193208601 1788887612993 3552579625803 5366662838979 6467516754667 19402550264001 84077717810671 252233153432013