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46006046136 = 2332172910712113
BaseRepresentation
bin101010110110001011…
…001000110110111000
311101202020111021220200
4222312023020312320
51223210021434021
633045045122200
73216033640251
oct526613106670
9141666437820
1046006046136
1118569239436
128abb3b9360
13445248730b
142326111b28
1512e3e16126
hexab62c8db8

46006046136 has 192 divisors, whose sum is σ = 137765253600. Its totient is φ = 13804191744.

The previous prime is 46006046011. The next prime is 46006046143. The reversal of 46006046136 is 63164060064.

46006046136 is a `hidden beast` number, since 4 + 600 + 6 + 0 + 46 + 1 + 3 + 6 = 666.

46006046136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 46006046136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3792016 + ... + 3804128.

Almost surely, 246006046136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46006046136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68882626800).

46006046136 is an abundant number, since it is smaller than the sum of its proper divisors (91759207464).

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

46006046136 is a wasteful number, since it uses less digits than its factorization.

46006046136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12278 (or 12271 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 46006046136 in words is "forty-six billion, six million, forty-six thousand, one hundred thirty-six".