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23348717568 = 2113211219229
BaseRepresentation
bin10101101111101100…
…010010100000000000
32020021012201202011100
4111233230102200000
5340304232430233
614420512014400
71454413552611
oct255754224000
966235652140
1023348717568
1199a1819100
124637531400
1322813b6717
1411b6d43c08
15919c43813
hex56fb12800

23348717568 has 648 divisors, whose sum is σ = 80927314650. Its totient is φ = 6471843840.

The previous prime is 23348717531. The next prime is 23348717569. The reversal of 23348717568 is 86571784332.

It is a happy number.

23348717568 is a `hidden beast` number, since 2 + 3 + 3 + 4 + 8 + 71 + 7 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19725640704 + 3623076864 = 140448^2 + 60192^2 .

It is a super-2 number, since 2×233487175682 (a number of 22 digits) contains 22 as substring.

Its product of digits (6773760) is a multiple of the sum of its prime divisors (64).

It is not an unprimeable number, because it can be changed into a prime (23348717569) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 805128178 + ... + 805128206.

Almost surely, 223348717568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23348717568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40463657325).

23348717568 is an abundant number, since it is smaller than the sum of its proper divisors (57578597082).

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

23348717568 is a wasteful number, since it uses less digits than its factorization.

23348717568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 64 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 23348717568 in words is "twenty-three billion, three hundred forty-eight million, seven hundred seventeen thousand, five hundred sixty-eight".