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45254873664 = 2637711131719
BaseRepresentation
bin101010001001011001…
…101001001001000000
311022210220000210000000
4222021121221021000
51220140221424124
632442333000000
73161313036120
oct521131511100
9138726023000
1045254873664
1118213218440
12892b923000
13436296bc70
142294456c80
15129ced66c9
hexa89669240

45254873664 has 1792 divisors, whose sum is σ = 201548390400. Its totient is φ = 9674588160.

The previous prime is 45254873659. The next prime is 45254873743. The reversal of 45254873664 is 46637845254.

45254873664 is a `hidden beast` number, since 4 + 5 + 2 + 548 + 7 + 36 + 64 = 666.

It is a super-3 number, since 3×452548736643 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (19353600) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 45254873664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2381835447 + ... + 2381835465.

It is an arithmetic number, because the mean of its divisors is an integer number (112471200).

Almost surely, 245254873664 is an apocalyptic number.

45254873664 is a gapful number since it is divisible by the number (44) 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 45254873664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100774195200).

45254873664 is an abundant number, since it is smaller than the sum of its proper divisors (156293516736).

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

45254873664 is a wasteful number, since it uses less digits than its factorization.

45254873664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 72 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 54.

The spelling of 45254873664 in words is "forty-five billion, two hundred fifty-four million, eight hundred seventy-three thousand, six hundred sixty-four".