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45804351320 = 235721331103563
BaseRepresentation
bin101010101010001001…
…101110111101011000
311101020011222010122022
4222222021232331120
51222301403220240
633013042114012
73211034363600
oct525211567530
9141204863568
1045804351320
11184753a9102
128a6394b908
13441c758780
14230740bc00
1512d13749b5
hexaaa26ef58

45804351320 has 384 divisors, whose sum is σ = 134805565440. Its totient is φ = 13867822080.

The previous prime is 45804351301. The next prime is 45804351371. The reversal of 45804351320 is 2315340854.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81357359 + ... + 81357921.

It is an arithmetic number, because the mean of its divisors is an integer number (351056160).

Almost surely, 245804351320 is an apocalyptic number.

45804351320 is a gapful number since it is divisible by the number (40) 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 45804351320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67402782720).

45804351320 is an abundant number, since it is smaller than the sum of its proper divisors (89001214120).

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

45804351320 is a wasteful number, since it uses less digits than its factorization.

45804351320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 45804351320 in words is "forty-five billion, eight hundred four million, three hundred fifty-one thousand, three hundred twenty".