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45427932732 = 223721319479653
BaseRepresentation
bin101010010011101101…
…110011111000111100
311100020221200002102010
4222103231303320330
51221014022321412
632511434131220
73165514025400
oct522355637074
9140227602363
1045427932732
11182a197a266
128979880b10
13438c782790
1422ad425100
1512ad2bd33c
hexa93b73e3c

45427932732 has 288 divisors, whose sum is σ = 140284569600. Its totient is φ = 11309372928.

The previous prime is 45427932679. The next prime is 45427932757. The reversal of 45427932732 is 23723972454.

Its product of digits (2540160) is a multiple of the sum of its prime divisors (1176).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69567718 + ... + 69568370.

It is an arithmetic number, because the mean of its divisors is an integer number (487099200).

Almost surely, 245427932732 is an apocalyptic number.

45427932732 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45427932732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70142284800).

45427932732 is an abundant number, since it is smaller than the sum of its proper divisors (94856636868).

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

45427932732 is a wasteful number, since it uses less digits than its factorization.

45427932732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1176 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 48.

The spelling of 45427932732 in words is "forty-five billion, four hundred twenty-seven million, nine hundred thirty-two thousand, seven hundred thirty-two".