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116647957440 = 2634572293167
BaseRepresentation
bin110110010100011000…
…0101001001111000000
3102011002101201012120000
41230220300221033000
53402343334114230
6125330510320000
711266434164400
oct1545060511700
9364071635500
10116647957440
1145519804a13
121a7351b9000
13accc8b3031
1459080a0800
15307aa72b60
hex1b28c293c0

116647957440 has 840 divisors, whose sum is σ = 499484050560. Its totient is φ = 25734868992.

The previous prime is 116647957427. The next prime is 116647957441. The reversal of 116647957440 is 44759746611.

It is a happy number.

116647957440 is a `hidden beast` number, since 1 + 1 + 6 + 64 + 7 + 9 + 574 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 (116647957441) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 36830737 + ... + 36833903.

Almost surely, 2116647957440 is an apocalyptic number.

116647957440 is a gapful number since it is divisible by the number (10) 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 116647957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249742025280).

116647957440 is an abundant number, since it is smaller than the sum of its proper divisors (382836093120).

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

116647957440 is a wasteful number, since it uses less digits than its factorization.

116647957440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 116647957440 in words is "one hundred sixteen billion, six hundred forty-seven million, nine hundred fifty-seven thousand, four hundred forty".