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45262711872 = 2631072959
BaseRepresentation
bin101010001001110111…
…100010110001000000
311022211102210000000000
4222021313202301000
51220144223234442
632443213000000
73161436463050
oct521167426100
9138742700000
1045262711872
11182176913a4
128932483000
134364484861
1422954d7560
15129da33d4c
hexa89de2c40

45262711872 has 616 divisors, whose sum is σ = 161982302400. Its totient is φ = 12274633728.

The previous prime is 45262711841. The next prime is 45262711889. The reversal of 45262711872 is 27811726254.

45262711872 is a `hidden beast` number, since 4 + 5 + 2 + 627 + 1 + 18 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 767164579 + ... + 767164637.

Almost surely, 245262711872 is an apocalyptic number.

45262711872 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 45262711872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80991151200).

45262711872 is an abundant number, since it is smaller than the sum of its proper divisors (116719590528).

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

45262711872 is an frugal number, since it uses more digits than its factorization.

45262711872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 100 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The spelling of 45262711872 in words is "forty-five billion, two hundred sixty-two million, seven hundred eleven thousand, eight hundred seventy-two".