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23874484480 = 2857111714249
BaseRepresentation
bin10110001111000001…
…111011100100000000
32021121212001110202221
4112033001323210000
5342343332000410
614545013020424
71503426525010
oct261701734400
967555043687
1023874484480
11a141584610
124763624714
1323362c0ac2
141226ac5c40
1594ae9b4da
hex58f07b900

23874484480 has 288 divisors, whose sum is σ = 75497184000. Its totient is φ = 7003176960.

The previous prime is 23874484471. The next prime is 23874484481. The reversal of 23874484480 is 8448447832.

It is not an unprimeable number, because it can be changed into a prime (23874484481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1668396 + ... + 1682644.

It is an arithmetic number, because the mean of its divisors is an integer number (262143000).

Almost surely, 223874484480 is an apocalyptic number.

23874484480 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 23874484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37748592000).

23874484480 is an abundant number, since it is smaller than the sum of its proper divisors (51622699520).

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

23874484480 is a wasteful number, since it uses less digits than its factorization.

23874484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14305 (or 14291 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 52.

The spelling of 23874484480 in words is "twenty-three billion, eight hundred seventy-four million, four hundred eighty-four thousand, four hundred eighty".