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12318079392 = 2532192251111
BaseRepresentation
bin10110111100011011…
…01111100110100000
31011210110122021020200
423132031233212200
5200211412020032
65354151105200
7614152642623
oct133615574640
934713567220
1012318079392
115251264403
122479372200
131214022798
1484bd79dba
154c165147c
hex2de36f9a0

12318079392 has 72 divisors (see below), whose sum is σ = 36873214560. Its totient is φ = 3889918080.

The previous prime is 12318079391. The next prime is 12318079393. The reversal of 12318079392 is 29397081321.

12318079392 is a `hidden beast` number, since 12 + 3 + 180 + 79 + 392 = 666.

It is an interprime number because it is at equal distance from previous prime (12318079391) and next prime (12318079393).

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 (12318079391) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1120084 + ... + 1131027.

It is an arithmetic number, because the mean of its divisors is an integer number (512127980).

Almost surely, 212318079392 is an apocalyptic number.

12318079392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12318079392 is an abundant number, since it is smaller than the sum of its proper divisors (24555135168).

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

12318079392 is a wasteful number, since it uses less digits than its factorization.

12318079392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251146 (or 2251135 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 12318079392 in words is "twelve billion, three hundred eighteen million, seventy-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 2251111 4502222 6753333 9004444 13506666 18008888 20259999 27013332 36017776 40519998 42771109 54026664 72035552 81039996 85542218 108053328 128313327 162079992 171084436 216106656 256626654 324159984 342168872 384939981 513253308 648319968 684337744 769879962 1026506616 1368675488 1539759924 2053013232 3079519848 4106026464 6159039696 12318079392