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23859680768 = 297111953601
BaseRepresentation
bin10110001110001001…
…011101011000000000
32021120211012100220022
4112032021131120000
5342331034241033
614543323433012
71503156640340
oct261611353000
967524170808
1023859680768
11a134193340
12475a685768
132333209901
141224b50d20
15949a25098
hex58e25d600

23859680768 has 320 divisors, whose sum is σ = 63850913280. Its totient is φ = 8626176000.

The previous prime is 23859680743. The next prime is 23859680783. The reversal of 23859680768 is 86708695832.

It is a self number, because there is not a number n which added to its sum of digits gives 23859680768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39699668 + ... + 39700268.

It is an arithmetic number, because the mean of its divisors is an integer number (199534104).

Almost surely, 223859680768 is an apocalyptic number.

23859680768 is a gapful number since it is divisible by the number (28) 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 23859680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31925456640).

23859680768 is an abundant number, since it is smaller than the sum of its proper divisors (39991232512).

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

23859680768 is a wasteful number, since it uses less digits than its factorization.

23859680768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 62.

The spelling of 23859680768 in words is "twenty-three billion, eight hundred fifty-nine million, six hundred eighty thousand, seven hundred sixty-eight".