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12955041792 = 214327211163
BaseRepresentation
bin11000001000010111…
…00100000000000000
31020102212012022101200
430010023210000000
5203012442314132
65541303301200
7636016016100
oct140413440000
936385168350
1012955041792
115548868710
12261674a800
1312b5c90404
148ac7c5200
1550c520d7c
hex3042e4000

12955041792 has 540 divisors, whose sum is σ = 47783722896. Its totient is φ = 3344302080.

The previous prime is 12955041779. The next prime is 12955041793. The reversal of 12955041792 is 29714055921.

12955041792 is a `hidden beast` number, since 1 + 2 + 9 + 550 + 4 + 1 + 7 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (12955041793) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79478703 + ... + 79478865.

Almost surely, 212955041792 is an apocalyptic number.

12955041792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12955041792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23891861448).

12955041792 is an abundant number, since it is smaller than the sum of its proper divisors (34828681104).

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

12955041792 is a wasteful number, since it uses less digits than its factorization.

12955041792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 12955041792 in words is "twelve billion, nine hundred fifty-five million, forty-one thousand, seven hundred ninety-two".