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116391379104 = 2532711213172127
BaseRepresentation
bin110110001100101110…
…1111000000010100000
3102010102111220200020200
41230121131320002200
53401332143112404
6125245223105200
711260200253530
oct1543135700240
9363374820220
10116391379104
11453a7998900
121a6832a2200
13ac8b6a9330
1458c1d914c0
15306328e839
hex1b197780a0

116391379104 has 1296 divisors, whose sum is σ = 479404283904. Its totient is φ = 26057687040.

The previous prime is 116391379103. The next prime is 116391379109. The reversal of 116391379104 is 401973193611.

116391379104 is a `hidden beast` number, since 1 + 1 + 639 + 1 + 3 + 7 + 9 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 116391379104.

It is not an unprimeable number, because it can be changed into a prime (116391379103) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 916467489 + ... + 916467615.

Almost surely, 2116391379104 is an apocalyptic number.

116391379104 is a gapful number since it is divisible by the number (14) 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 116391379104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239702141952).

116391379104 is an abundant number, since it is smaller than the sum of its proper divisors (363012904800).

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

116391379104 is a wasteful number, since it uses less digits than its factorization.

116391379104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 116391379104 in words is "one hundred sixteen billion, three hundred ninety-one million, three hundred seventy-nine thousand, one hundred four".