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23505828864 = 210373137953
BaseRepresentation
bin10101111001000011…
…100111110000000000
32020200011100211100020
4111321003213300000
5341114443010424
614444243253440
71461332151210
oct257103476000
966604324306
1023505828864
119a72478151
12468007a280
1322a7b0539b
1411cdb60240
1592892a079
hex5790e7c00

23505828864 has 352 divisors, whose sum is σ = 75988832256. Its totient is φ = 6317015040.

The previous prime is 23505828851. The next prime is 23505828917. The reversal of 23505828864 is 46882850532.

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, 24664612 + ... + 24665564.

Almost surely, 223505828864 is an apocalyptic number.

23505828864 is a gapful number since it is divisible by the number (24) 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 23505828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37994416128).

23505828864 is an abundant number, since it is smaller than the sum of its proper divisors (52483003392).

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

23505828864 is a wasteful number, since it uses less digits than its factorization.

23505828864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The spelling of 23505828864 in words is "twenty-three billion, five hundred five million, eight hundred twenty-eight thousand, eight hundred sixty-four".