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23064370560 = 273257211171923
BaseRepresentation
bin10101011110101111…
…100101110110000000
32012112101200102101200
4111132233211312000
5334213434324220
614332353301200
71444361625600
oct253657456600
965471612350
1023064370560
119866265a80
124578264800
13223750955a
14118b286c00
158eecc7890
hex55ebe5d80

23064370560 has 2304 divisors, whose sum is σ = 117545126400. Its totient is φ = 4087480320.

The previous prime is 23064370547. The next prime is 23064370603. The reversal of 23064370560 is 6507346032.

23064370560 is a `hidden beast` number, since 2 + 3 + 0 + 64 + 37 + 0 + 560 = 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 287 ways as a sum of consecutive naturals, for example, 1002798709 + ... + 1002798731.

It is an arithmetic number, because the mean of its divisors is an integer number (51017850).

Almost surely, 223064370560 is an apocalyptic number.

23064370560 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 23064370560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58772563200).

23064370560 is an abundant number, since it is smaller than the sum of its proper divisors (94480755840).

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

23064370560 is a wasteful number, since it uses less digits than its factorization.

23064370560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 23064370560 in words is "twenty-three billion, sixty-four million, three hundred seventy thousand, five hundred sixty".