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116947157184 = 2634111319323
BaseRepresentation
bin110110011101010011…
…0000000000011000000
3102011212020201010110000
41230322212000003000
53404001433012214
6125420315240000
711310026302014
oct1547246000300
9364766633400
10116947157184
1145662692130
121a7b9449000
13b0498907c0
145935b06544
153096e74809
hex1b3a9800c0

116947157184 has 1120 divisors, whose sum is σ = 448588546560. Its totient is φ = 29643356160.

The previous prime is 116947157177. The next prime is 116947157219. The reversal of 116947157184 is 481751749611.

116947157184 is a `hidden beast` number, since 1 + 1 + 69 + 4 + 7 + 1 + 571 + 8 + 4 = 666.

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

Its product of digits (1693440) is a multiple of the sum of its prime factors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 116947157184.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5084658997 + ... + 5084659019.

It is an arithmetic number, because the mean of its divisors is an integer number (400525488).

Almost surely, 2116947157184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116947157184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224294273280).

116947157184 is an abundant number, since it is smaller than the sum of its proper divisors (331641389376).

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

116947157184 is a wasteful number, since it uses less digits than its factorization.

116947157184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 71 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 54.

The spelling of 116947157184 in words is "one hundred sixteen billion, nine hundred forty-seven million, one hundred fifty-seven thousand, one hundred eighty-four".