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252134222431252 = 22723109413766193
BaseRepresentation
bin111001010101000010010010…
…110000111000010000010100
31020001201210111110211011001211
4321111002102300320100110
5231021431341420300002
62252124510204231204
7104052045035265400
oct7125022260702024
91201653443734054
10252134222431252
1173379583489457
1224341374b3b504
13aa8c202b4b675
14463950bc7c100
151e238ca5a0dd7
hexe55092c38414

252134222431252 has 36 divisors (see below), whose sum is σ = 513438332472660. Its totient is φ = 108022767277824.

The previous prime is 252134222431229. The next prime is 252134222431297.

It is a happy number.

252134222431252 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 125728363933956 + 126405858497296 = 11212866^2 + 11243036^2 .

It is a super-2 number, since 2×2521342224312522 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206273733 + ... + 207492460.

Almost surely, 2252134222431252 is an apocalyptic number.

It is an amenable number.

252134222431252 is an abundant number, since it is smaller than the sum of its proper divisors (261304110041408).

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

252134222431252 is a wasteful number, since it uses less digits than its factorization.

252134222431252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413769320 (or 413769311 counting only the distinct ones).

The product of its digits is 460800, while the sum is 40.

The spelling of 252134222431252 in words is "two hundred fifty-two trillion, one hundred thirty-four billion, two hundred twenty-two million, four hundred thirty-one thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 49 98 196 3109 6218 12436 21763 43526 87052 152341 304682 609364 413766193 827532386 1655064772 2896363351 5792726702 11585453404 20274543457 40549086914 81098173828 1286399094037 2572798188074 5145596376148 9004793658259 18009587316518 36019174633036 63033555607813 126067111215626 252134222431252