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23251108608 = 2832713432579
BaseRepresentation
bin10101101001110111…
…111100001100000000
32020000102001200211200
4111221313330030000
5340104240433413
614403103541200
71452120106440
oct255167741400
966012050750
1023251108608
119951710042
12460a8ba800
1322670cc340
1411a7db6120
159113b2573
hex569dfc300

23251108608 has 432 divisors, whose sum is σ = 84460696320. Its totient is φ = 5987229696.

The previous prime is 23251108561. The next prime is 23251108609. The reversal of 23251108608 is 80680115232.

It is a happy number.

23251108608 is a `hidden beast` number, since 2 + 32 + 5 + 1 + 10 + 8 + 608 = 666.

It is a super-2 number, since 2×232511086082 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (23251108609) 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 47 ways as a sum of consecutive naturals, for example, 9014263 + ... + 9016841.

Almost surely, 223251108608 is an apocalyptic number.

23251108608 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 23251108608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42230348160).

23251108608 is an abundant number, since it is smaller than the sum of its proper divisors (61209587712).

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

23251108608 is a wasteful number, since it uses less digits than its factorization.

23251108608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 23251108608 in words is "twenty-three billion, two hundred fifty-one million, one hundred eight thousand, six hundred eight".