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23829322816 = 261328641013
BaseRepresentation
bin10110001100010101…
…101001110001000000
32021111201002000121201
4112030111221301000
5342300301312231
614540321030544
71502340621235
oct261425516100
967451060551
1023829322816
11a119038a22
124750485454
132329b3aa20
141220acb78c
1594702a161
hex58c569c40

23829322816 has 28 divisors (see below), whose sum is σ = 50923722892. Its totient is φ = 10998148608.

The previous prime is 23829322813. The next prime is 23829322837. The reversal of 23829322816 is 61822392832.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8778940416 + 15050382400 = 93696^2 + 122680^2 .

It is not an unprimeable number, because it can be changed into a prime (23829322813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14319675 + ... + 14321338.

It is an arithmetic number, because the mean of its divisors is an integer number (1818704389).

Almost surely, 223829322816 is an apocalyptic number.

23829322816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

23829322816 is an abundant number, since it is smaller than the sum of its proper divisors (27094400076).

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

23829322816 is a wasteful number, since it uses less digits than its factorization.

23829322816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28641038 (or 28641028 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The spelling of 23829322816 in words is "twenty-three billion, eight hundred twenty-nine million, three hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 28641013 57282026 114564052 229128104 372333169 458256208 744666338 916512416 1489332676 1833024832 2978665352 5957330704 11914661408 23829322816