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23488496640 = 21036572931
BaseRepresentation
bin10101111000000001…
…100000010000000000
32020121221202021000000
4111320001200100000
5341101023343030
614442424000000
71461031633020
oct257001402000
966557667000
1023488496640
119a6370a1a4
124676300000
1322a434732b
1411cb72ba80
15927154860
hex578060400

23488496640 has 1232 divisors, whose sum is σ = 103098055680. Its totient is φ = 5016453120.

The previous prime is 23488496639. The next prime is 23488496719. The reversal of 23488496640 is 4669488432.

23488496640 is a `hidden beast` number, since 2 + 34 + 88 + 496 + 6 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 757693425 + ... + 757693455.

Almost surely, 223488496640 is an apocalyptic number.

23488496640 is a gapful number since it is divisible by the number (20) 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 23488496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51549027840).

23488496640 is an abundant number, since it is smaller than the sum of its proper divisors (79609559040).

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

23488496640 is an equidigital number, since it uses as much as digits as its factorization.

23488496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 23488496640 in words is "twenty-three billion, four hundred eighty-eight million, four hundred ninety-six thousand, six hundred forty".