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11713841568 = 253411213317
BaseRepresentation
bin10101110100011001…
…10000100110100000
31010020100122210210000
422322030300212200
5142442220412233
65214204140000
7563165003412
oct127214604640
933210583700
1011713841568
114a71181600
12232ab37600
131148aa2000
147d1a0c9b2
15488597d13
hex2ba3309a0

11713841568 has 720 divisors, whose sum is σ = 43433719560. Its totient is φ = 3083857920.

The previous prime is 11713841549. The next prime is 11713841597. The reversal of 11713841568 is 86514831711.

11713841568 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 3 + 84 + 1 + 568 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1356301584 + 10357539984 = 36828^2 + 101772^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 689049496 + ... + 689049512.

Almost surely, 211713841568 is an apocalyptic number.

11713841568 is a gapful number since it is divisible by the number (18) 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 11713841568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21716859780).

11713841568 is an abundant number, since it is smaller than the sum of its proper divisors (31719877992).

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

11713841568 is a wasteful number, since it uses less digits than its factorization.

11713841568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 46 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The spelling of 11713841568 in words is "eleven billion, seven hundred thirteen million, eight hundred forty-one thousand, five hundred sixty-eight".