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23087319840 = 2534513283127
BaseRepresentation
bin10101100000000111…
…001000101100100000
32012120222212100220000
4111200013020230200
5334240323213330
614334533220000
71445060660244
oct254007105440
965528770800
1023087319840
119878210122
124583a91600
13223c1b3200
14119033c424
15901d0c560
hex5601c8b20

23087319840 has 720 divisors, whose sum is σ = 89994820608. Its totient is φ = 5570353152.

The previous prime is 23087319817. The next prime is 23087319847. The reversal of 23087319840 is 4891378032.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (23087319847) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 181789857 + ... + 181789983.

Almost surely, 223087319840 is an apocalyptic number.

23087319840 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 23087319840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997410304).

23087319840 is an abundant number, since it is smaller than the sum of its proper divisors (66907500768).

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

23087319840 is a wasteful number, since it uses less digits than its factorization.

23087319840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 23087319840 in words is "twenty-three billion, eighty-seven million, three hundred nineteen thousand, eight hundred forty".