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23291538336 = 253611139653
BaseRepresentation
bin10101101100010010…
…001010101110100000
32020010020010202000000
4111230102022232200
5340200113211321
614411110300000
71453120544403
oct255422125640
966106122000
1023291538336
119972514540
124620357600
1322725b6661
1411ad4dbd3a
15914beb826
hex56c48aba0

23291538336 has 336 divisors, whose sum is σ = 75656760480. Its totient is φ = 6996533760.

The previous prime is 23291538329. The next prime is 23291538349. The reversal of 23291538336 is 63383519232.

23291538336 is a `hidden beast` number, since 23 + 2 + 91 + 538 + 3 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23291538291 and 23291538300.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 35668186 + ... + 35668838.

It is an arithmetic number, because the mean of its divisors is an integer number (225168930).

Almost surely, 223291538336 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 23291538336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37828380240).

23291538336 is an abundant number, since it is smaller than the sum of its proper divisors (52365222144).

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

23291538336 is a wasteful number, since it uses less digits than its factorization.

23291538336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 808 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The spelling of 23291538336 in words is "twenty-three billion, two hundred ninety-one million, five hundred thirty-eight thousand, three hundred thirty-six".