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252136242631252 = 22743740172829289
BaseRepresentation
bin111001010101000100001011…
…001011010101001001010100
31020001201222201021011221111001
4321111010023023111021110
5231022000011103200002
62252125442452153044
7104052146065561330
oct7125041313251124
91201658637157431
10252136242631252
117337a41a872631
1224341839608784
13aa8c465549195
1446396602b47c0
151e23997b03a87
hexe5510b2d5254

252136242631252 has 48 divisors (see below), whose sum is σ = 516006906110080. Its totient is φ = 105543940626432.

The previous prime is 252136242631223. The next prime is 252136242631267.

252136242631252 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87701824 + ... + 90531112.

Almost surely, 2252136242631252 is an apocalyptic number.

It is an amenable number.

252136242631252 is an abundant number, since it is smaller than the sum of its proper divisors (263870663478828).

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

252136242631252 is a wasteful number, since it uses less digits than its factorization.

252136242631252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903360 (or 2903358 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 46.

The spelling of 252136242631252 in words is "two hundred fifty-two trillion, one hundred thirty-six billion, two hundred forty-two million, six hundred thirty-one thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 43 86 172 301 602 1204 74017 148034 296068 518119 1036238 2072476 2829289 3182731 5658578 6365462 11317156 12730924 19805023 22279117 39610046 44558234 79220092 89116468 121659427 243318854 486637708 851615989 1703231978 3406463956 209415483913 418830967826 837661935652 1465908387391 2931816774782 5863633549564 9004865808259 18009731616518 36019463233036 63034060657813 126068121315626 252136242631252