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23023077928704 = 283471931535081
BaseRepresentation
bin1010011110000011110100…
…11000011010111100000000
310000111222120212221000210000
411033001322120122330000
511004202230422204304
6120544353405440000
74564235222313660
oct517017230327400
9100458525830700
1023023077928704
11737703a30a167
1226ba03a270000
13cb00b4089449
1459847412a1a0
1529dd3a67e939
hex14f07a61af00

23023077928704 has 1440 divisors, whose sum is σ = 86876967260160. Its totient is φ = 5915831500800.

The previous prime is 23023077928667. The next prime is 23023077928751. The reversal of 23023077928704 is 40782977032032.

It is a happy number.

23023077928704 is a `hidden beast` number, since 2 + 302 + 307 + 7 + 9 + 28 + 7 + 0 + 4 = 666.

It is a super-2 number, since 2×230230779287042 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4531207444 + ... + 4531212524.

It is an arithmetic number, because the mean of its divisors is an integer number (60331227264).

Almost surely, 223023077928704 is an apocalyptic number.

23023077928704 is a gapful number since it is divisible by the number (24) 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 23023077928704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43438483630080).

23023077928704 is an abundant number, since it is smaller than the sum of its proper divisors (63853889331456).

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

23023077928704 is a wasteful number, since it uses less digits than its factorization.

23023077928704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5219 (or 5196 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 23023077928704 in words is "twenty-three trillion, twenty-three billion, seventy-seven million, nine hundred twenty-eight thousand, seven hundred four".