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45811293696 = 2932753127211
BaseRepresentation
bin101010101010100100…
…001101111000000000
311101020200000211210100
4222222210031320000
51222310142344241
633013451002400
73211150400010
oct525244157000
9141220024710
1045811293696
1118479310003
128a66139400
13442101969c
1423082d7c40
1512d1c969b6
hexaaa90de00

45811293696 has 480 divisors, whose sum is σ = 155900878848. Its totient is φ = 12680478720.

The previous prime is 45811293659. The next prime is 45811293713. The reversal of 45811293696 is 69639211854.

45811293696 is a `hidden beast` number, since 4 + 581 + 1 + 29 + 36 + 9 + 6 = 666.

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, 217115031 + ... + 217115241.

Almost surely, 245811293696 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 45811293696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77950439424).

45811293696 is an abundant number, since it is smaller than the sum of its proper divisors (110089585152).

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

45811293696 is a wasteful number, since it uses less digits than its factorization.

45811293696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 403 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 45811293696 in words is "forty-five billion, eight hundred eleven million, two hundred ninety-three thousand, six hundred ninety-six".