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11239735968 = 2532311258931
BaseRepresentation
bin10100111011111000…
…01100001010100000
31002000022112202011100
422131330030022200
5141004333022333
65055150314400
7545350115346
oct123574141240
932008482140
1011239735968
1148485a0a9a
1222181b8a00
1310a17b5256
14788a77996
1545bb47213
hex29df0c2a0

11239735968 has 72 divisors (see below), whose sum is σ = 32994089856. Its totient is φ = 3625718400.

The previous prime is 11239735961. The next prime is 11239735973. The reversal of 11239735968 is 86953793211.

11239735968 is a `hidden beast` number, since 1 + 12 + 39 + 7 + 3 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (11239735961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 620538 + ... + 638393.

It is an arithmetic number, because the mean of its divisors is an integer number (458251248).

Almost surely, 211239735968 is an apocalyptic number.

11239735968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11239735968 is an abundant number, since it is smaller than the sum of its proper divisors (21754353888).

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

11239735968 is a wasteful number, since it uses less digits than its factorization.

11239735968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258978 (or 1258967 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 11239735968 in words is "eleven billion, two hundred thirty-nine million, seven hundred thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 1258931 2517862 3776793 5035724 7553586 10071448 11330379 15107172 20142896 22660758 30214344 39026861 40285792 45321516 60428688 78053722 90643032 117080583 120857376 156107444 181286064 234161166 312214888 351241749 362572128 468322332 624429776 702483498 936644664 1248859552 1404966996 1873289328 2809933992 3746578656 5619867984 11239735968