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812124084132 = 223222559002337
BaseRepresentation
bin10111101000101100101…
…11100001011110100100
32212122020022202000202200
423310112113201132210
5101301212231143012
61421030141334500
7112450122550044
oct13642627413644
92778208660680
10812124084132
11293468967639
1211148a867430
135b776a3805a
142b442643724
15161d28c33dc
hexbd165e17a4

812124084132 has 18 divisors (see below), whose sum is σ = 2052869212758. Its totient is φ = 270708028032.

The previous prime is 812124084103. The next prime is 812124084157. The reversal of 812124084132 is 231480421218.

812124084132 is a `hidden beast` number, since 8 + 1 + 212 + 408 + 4 + 1 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 668836094976 + 143287989156 = 817824^2 + 378534^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 22559002337 = 812124084132 / (8 + 1 + 2 + 1 + 2 + 4 + 0 + 8 + 4 + 1 + 3 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11279501133 + ... + 11279501204.

Almost surely, 2812124084132 is an apocalyptic number.

It is an amenable number.

812124084132 is an abundant number, since it is smaller than the sum of its proper divisors (1240745128626).

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

812124084132 is a wasteful number, since it uses less digits than its factorization.

812124084132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22559002347 (or 22559002342 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 812124084132 in words is "eight hundred twelve billion, one hundred twenty-four million, eighty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 22559002337 45118004674 67677007011 90236009348 135354014022 203031021033 270708028044 406062042066 812124084132