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23240431872 = 28347289257
BaseRepresentation
bin10101101001001111…
…001101100100000000
32012222122222021010000
4111221033031210000
5340044022304442
614402043040000
71451630261100
oct255117154400
965878867100
1023240431872
119946688499
124607210000
132264b31748
1411a67d7200
159104a3d4c
hex5693cd900

23240431872 has 540 divisors, whose sum is σ = 81835801740. Its totient is φ = 6539968512.

The previous prime is 23240431801. The next prime is 23240431889. The reversal of 23240431872 is 27813404232.

It is a happy number.

23240431872 is a `hidden beast` number, since 232 + 40 + 4 + 318 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15372032256 + 7868399616 = 123984^2 + 88704^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 90429568 + ... + 90429824.

It is an arithmetic number, because the mean of its divisors is an integer number (151547781).

Almost surely, 223240431872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23240431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40917900870).

23240431872 is an abundant number, since it is smaller than the sum of its proper divisors (58595369868).

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

23240431872 is an equidigital number, since it uses as much as digits as its factorization.

23240431872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 23240431872 in words is "twenty-three billion, two hundred forty million, four hundred thirty-one thousand, eight hundred seventy-two".