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23078297088 = 2936711273
BaseRepresentation
bin10101011111100100…
…101101111000000000
32012120100212222000000
4111133210231320000
5334231021001323
614334012000000
71444621200660
oct253744557000
965510788000
1023078297088
119873108200
124580a60000
13223a3743c2
14118d0701a0
15901128e43
hex55f92de00

23078297088 has 840 divisors, whose sum is σ = 88037792304. Its totient is φ = 5912248320.

The previous prime is 23078297087. The next prime is 23078297131. The reversal of 23078297088 is 88079287032.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23078297087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 316141020 + ... + 316141092.

Almost surely, 223078297088 is an apocalyptic number.

23078297088 is a gapful number since it is divisible by the number (28) 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 23078297088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44018896152).

23078297088 is an abundant number, since it is smaller than the sum of its proper divisors (64959495216).

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

23078297088 is an frugal number, since it uses more digits than its factorization.

23078297088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 23078297088 in words is "twenty-three billion, seventy-eight million, two hundred ninety-seven thousand, eighty-eight".