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45810683776 = 2711136189461
BaseRepresentation
bin101010101010100001…
…111000111110000000
311101020121212212010201
4222222201320332000
51222310013340101
633013425534544
73211142246554
oct525241707600
9141217785121
1045810683776
1118478a33840
128a65aa4454
134420b64ba0
1423081b9864
1512d1bc5e01
hexaaa878f80

45810683776 has 256 divisors, whose sum is σ = 110439806400. Its totient is φ = 18653184000.

The previous prime is 45810683747. The next prime is 45810683797. The reversal of 45810683776 is 67738601854.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99372186 + ... + 99372646.

Almost surely, 245810683776 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 45810683776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55219903200).

45810683776 is an abundant number, since it is smaller than the sum of its proper divisors (64629122624).

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

45810683776 is a wasteful number, since it uses less digits than its factorization.

45810683776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 45810683776 in words is "forty-five billion, eight hundred ten million, six hundred eighty-three thousand, seven hundred seventy-six".