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23157504720 = 2434571759509
BaseRepresentation
bin10101100100010010…
…110111101011010000
32012202212221010110000
4111210102313223100
5334411310122340
614345521410000
71446602354010
oct254422675320
965685833400
1023157504720
119903898059
1245a3499900
1322508b7c1c
1411997abc40
15908072d30
hex5644b7ad0

23157504720 has 800 divisors, whose sum is σ = 99170438400. Its totient is φ = 4887724032.

The previous prime is 23157504707. The next prime is 23157504791. The reversal of 23157504720 is 2740575132.

23157504720 is a `hidden beast` number, since 2 + 31 + 57 + 504 + 72 + 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 (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 45495826 + ... + 45496334.

It is an arithmetic number, because the mean of its divisors is an integer number (123963048).

Almost surely, 223157504720 is an apocalyptic number.

23157504720 is a gapful number since it is divisible by the number (20) 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 23157504720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49585219200).

23157504720 is an abundant number, since it is smaller than the sum of its proper divisors (76012933680).

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

23157504720 is a wasteful number, since it uses less digits than its factorization.

23157504720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 23157504720 in words is "twenty-three billion, one hundred fifty-seven million, five hundred four thousand, seven hundred twenty".