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11627661204 = 2232322990589
BaseRepresentation
bin10101101010001000…
…00000011110010100
31010000100111101112200
422311010000132110
5142303140124304
65201445044500
7561100326615
oct126504003624
933010441480
1011627661204
114a27569a65
1223060b6730
131133c89803
147c43b7c0c
15480c22e39
hex2b5100794

11627661204 has 18 divisors (see below), whose sum is σ = 29392143690. Its totient is φ = 3875887056.

The previous prime is 11627661203. The next prime is 11627661223. The reversal of 11627661204 is 40216672611.

11627661204 is a `hidden beast` number, since 1 + 1 + 627 + 6 + 6 + 1 + 20 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11098201104 + 529460100 = 105348^2 + 23010^2 .

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: 322990589 = 11627661204 / (1 + 1 + 6 + 2 + 7 + 6 + 6 + 1 + 2 + 0 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11627661203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 161495259 + ... + 161495330.

Almost surely, 211627661204 is an apocalyptic number.

It is an amenable number.

11627661204 is an abundant number, since it is smaller than the sum of its proper divisors (17764482486).

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

11627661204 is a wasteful number, since it uses less digits than its factorization.

11627661204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322990599 (or 322990594 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11627661204 in words is "eleven billion, six hundred twenty-seven million, six hundred sixty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 322990589 645981178 968971767 1291962356 1937943534 2906915301 3875887068 5813830602 11627661204