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116996340384 = 25347211223331
BaseRepresentation
bin110110011110110000…
…1100111101010100000
3102011222200020220010000
41230331201213222200
53404102030343014
6125425233340000
711311164325200
oct1547541475240
9364880226100
10116996340384
1145688425200
121a811a07600
13b056b211a1
14593c46a400
15309b43c509
hex1b3d867aa0

116996340384 has 1080 divisors, whose sum is σ = 460470425184. Its totient is φ = 28979596800.

The previous prime is 116996340379. The next prime is 116996340397. The reversal of 116996340384 is 483043699611.

116996340384 is a `hidden beast` number, since 1 + 16 + 99 + 63 + 403 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 116996340384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 353463099 + ... + 353463429.

Almost surely, 2116996340384 is an apocalyptic number.

116996340384 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 116996340384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230235212592).

116996340384 is an abundant number, since it is smaller than the sum of its proper divisors (343474084800).

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

116996340384 is a wasteful number, since it uses less digits than its factorization.

116996340384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 116996340384 in words is "one hundred sixteen billion, nine hundred ninety-six million, three hundred forty thousand, three hundred eighty-four".