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23197827744 = 25327213314079
BaseRepresentation
bin10101100110101100…
…101100001010100000
32012212200210202020100
4111212230230022200
5340002120441434
614353521542400
71450602165600
oct254654541240
965780722210
1023197827744
119924629373
1245b4aa4a00
1322590657c0
1411a0ca6c00
1590b88a699
hex566b2c2a0

23197827744 has 432 divisors, whose sum is σ = 85329054720. Its totient is φ = 5919298560.

The previous prime is 23197827721. The next prime is 23197827769. The reversal of 23197827744 is 44772879132.

It is a super-2 number, since 2×231978277442 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5685097 + ... + 5689175.

It is an arithmetic number, because the mean of its divisors is an integer number (197520960).

Almost surely, 223197827744 is an apocalyptic number.

23197827744 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 23197827744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42664527360).

23197827744 is an abundant number, since it is smaller than the sum of its proper divisors (62131226976).

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

23197827744 is a wasteful number, since it uses less digits than its factorization.

23197827744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153 (or 4135 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The spelling of 23197827744 in words is "twenty-three billion, one hundred ninety-seven million, eight hundred twenty-seven thousand, seven hundred forty-four".