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491115927168 = 27334119917417
BaseRepresentation
bin1110010010110001100…
…10100101011010000000
31201221122201021001102000
413021120302211122000
531021301134132133
61013340542424000
750324211334356
oct7113062453200
91657581231360
10491115927168
1117a310157049
127b221892000
13374096c9949
1419aad3877d6
15cb95c05413
hex7258ca5680

491115927168 has 256 divisors, whose sum is σ = 1492374240000. Its totient is φ = 158900797440.

The previous prime is 491115927157. The next prime is 491115927187. The reversal of 491115927168 is 861729511194.

491115927168 is a `hidden beast` number, since 49 + 1 + 1 + 1 + 592 + 7 + 1 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28188796 + ... + 28206212.

It is an arithmetic number, because the mean of its divisors is an integer number (5829586875).

Almost surely, 2491115927168 is an apocalyptic number.

491115927168 is a gapful number since it is divisible by the number (48) 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 491115927168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746187120000).

491115927168 is an abundant number, since it is smaller than the sum of its proper divisors (1001258312832).

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

491115927168 is a wasteful number, since it uses less digits than its factorization.

491115927168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17680 (or 17662 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 54.

The spelling of 491115927168 in words is "four hundred ninety-one billion, one hundred fifteen million, nine hundred twenty-seven thousand, one hundred sixty-eight".