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23490816000 = 21135373419
BaseRepresentation
bin10101111000001010…
…010110100000000000
32020122010010002120020
4111320022112200000
5341102122103000
614442545413440
71461060433011
oct257012264000
966563102506
1023490816000
119a64a53823
12467703a280
1322a4979c32
1411cbb73008
15927461ba0
hex578296800

23490816000 has 384 divisors, whose sum is σ = 79418102400. Its totient is φ = 6163660800.

The previous prime is 23490815989. The next prime is 23490816047. The reversal of 23490816000 is 61809432.

It is a tau number, because it is divible by the number of its divisors (384).

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, 56063791 + ... + 56064209.

It is an arithmetic number, because the mean of its divisors is an integer number (206817975).

Almost surely, 223490816000 is an apocalyptic number.

23490816000 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 23490816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39709051200).

23490816000 is an abundant number, since it is smaller than the sum of its proper divisors (55927286400).

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

23490816000 is an equidigital number, since it uses as much as digits as its factorization.

23490816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 23490816000 in words is "twenty-three billion, four hundred ninety million, eight hundred sixteen thousand".