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12346041132 = 22321811894727
BaseRepresentation
bin10110111111110000…
…11010001100101100
31011212102020212112200
423133320122030230
5200241041304012
65401030301500
7614642422005
oct133770321454
934772225480
1012346041132
115266022487
1224867b7890
131219a62aa9
148519781ac
154c3d263dc
hex2dfe1a32c

12346041132 has 36 divisors (see below), whose sum is σ = 31380485136. Its totient is φ = 4092608160.

The previous prime is 12346041083. The next prime is 12346041139. The reversal of 12346041132 is 23114064321.

It is a happy number.

12346041132 is a `hidden beast` number, since 1 + 23 + 4 + 604 + 1 + 1 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 12346041096 and 12346041105.

It is not an unprimeable number, because it can be changed into a prime (12346041139) 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, 940848 + ... + 953879.

Almost surely, 212346041132 is an apocalyptic number.

12346041132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12346041132 is an abundant number, since it is smaller than the sum of its proper divisors (19034444004).

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

12346041132 is a wasteful number, since it uses less digits than its factorization.

12346041132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894918 (or 1894913 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 12346041132 in words is "twelve billion, three hundred forty-six million, forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 181 362 543 724 1086 1629 2172 3258 6516 1894727 3789454 5684181 7578908 11368362 17052543 22736724 34105086 68210172 342945587 685891174 1028836761 1371782348 2057673522 3086510283 4115347044 6173020566 12346041132