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23297424048 = 24323183227277
BaseRepresentation
bin10101101100101000…
…100111101010110000
32020010122012202200100
4111230220213222300
5340203120032143
614411440352400
71453221560043
oct255450475260
966118182610
1023297424048
119975874568
124622315700
132273897622
1411b01d0c5a
159154b06d3
hex56ca27ab0

23297424048 has 240 divisors, whose sum is σ = 68661605376. Its totient is φ = 7365358080.

The previous prime is 23297424023. The next prime is 23297424083. The reversal of 23297424048 is 84042479232.

It is a happy number.

23297424048 is a `hidden beast` number, since 232 + 9 + 7 + 4 + 2 + 404 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23297423994 and 23297424012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84106086 + ... + 84106362.

Almost surely, 223297424048 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 23297424048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34330802688).

23297424048 is an abundant number, since it is smaller than the sum of its proper divisors (45364181328).

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

23297424048 is a wasteful number, since it uses less digits than its factorization.

23297424048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 23297424048 in words is "twenty-three billion, two hundred ninety-seven million, four hundred twenty-four thousand, forty-eight".