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45091723320 = 23325731737907
BaseRepresentation
bin101001111111101011…
…010001100000111000
311022101112000212210200
4221333223101200320
51214321440121240
632414224042200
73154262216130
oct517753214070
9138345025720
1045091723320
111813a114146
1288a5163360
134337c175b7
14227a907ac0
15128da0a930
hexa7fad1838

45091723320 has 384 divisors, whose sum is σ = 175276707840. Its totient is φ = 9836328960.

The previous prime is 45091723309. The next prime is 45091723337. The reversal of 45091723320 is 2332719054.

45091723320 is a `hidden beast` number, since 450 + 9 + 172 + 3 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5698807 + ... + 5706713.

It is an arithmetic number, because the mean of its divisors is an integer number (456449760).

Almost surely, 245091723320 is an apocalyptic number.

45091723320 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 45091723320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87638353920).

45091723320 is an abundant number, since it is smaller than the sum of its proper divisors (130184984520).

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

45091723320 is a wasteful number, since it uses less digits than its factorization.

45091723320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8035 (or 8028 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 45091723320 in words is "forty-five billion, ninety-one million, seven hundred twenty-three thousand, three hundred twenty".