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23822004960 = 2533513974373
BaseRepresentation
bin10110001011111001…
…101111001011100000
32021111012022020102000
4112023321233023200
5342241413124320
614535500124000
71502221462335
oct261371571340
967435266360
1023822004960
11a11499aa06
124749b36600
132328477c30
14121db4498c
15946581c90
hex58be6f2e0

23822004960 has 384 divisors, whose sum is σ = 90737055360. Its totient is φ = 5802098688.

The previous prime is 23822004959. The next prime is 23822004977. The reversal of 23822004960 is 6940022832.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5445334 + ... + 5449706.

It is an arithmetic number, because the mean of its divisors is an integer number (236294415).

Almost surely, 223822004960 is an apocalyptic number.

23822004960 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 23822004960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45368527680).

23822004960 is an abundant number, since it is smaller than the sum of its proper divisors (66915050400).

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

23822004960 is a wasteful number, since it uses less digits than its factorization.

23822004960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 23822004960 in words is "twenty-three billion, eight hundred twenty-two million, four thousand, nine hundred sixty".