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1005631164356 = 227134783577613
BaseRepresentation
bin11101010001001000100…
…10011100111111000100
310120010201011110012202212
432220210102130333010
5112434013034224411
62045551445522552
7132440322600560
oct16504422347704
93503634405685
101005631164356
11358538637035
12142a93a13458
1373aa4b14c60
143695c2846a0
151b25ace468b
hexea2449cfc4

1005631164356 has 48 divisors (see below), whose sum is σ = 2166431414784. Its totient is φ = 397748244096.

The previous prime is 1005631164269. The next prime is 1005631164367. The reversal of 1005631164356 is 6534611365001.

It is a super-2 number, since 2×10056311643562 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1452206 + ... + 2029818.

It is an arithmetic number, because the mean of its divisors is an integer number (45133987808).

Almost surely, 21005631164356 is an apocalyptic number.

It is an amenable number.

1005631164356 is an abundant number, since it is smaller than the sum of its proper divisors (1160800250428).

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

1005631164356 is a wasteful number, since it uses less digits than its factorization.

1005631164356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582420 (or 582418 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 1005631164356 in words is "one trillion, five billion, six hundred thirty-one million, one hundred sixty-four thousand, three hundred fifty-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 4783 9566 19132 33481 62179 66962 124358 133924 248716 435253 577613 870506 1155226 1741012 2310452 4043291 7508969 8086582 15017938 16173164 30035876 52562783 105125566 210251132 2762722979 5525445958 11050891916 19339060853 35915398727 38678121706 71830797454 77356243412 143661594908 251407791089 502815582178 1005631164356