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116466702336 = 2113329591231
BaseRepresentation
bin110110001110111110…
…1001101100000000000
3102010121202122111022000
41230131331031200000
53402010433433321
6125300513344000
711262103431015
oct1543575154000
9363552574260
10116466702336
1145436465306
121a6a4568000
13aca118caaa
1458cbd9b70c
153069bbc826
hex1b1df4d800

116466702336 has 384 divisors, whose sum is σ = 363242880000. Its totient is φ = 36818288640.

The previous prime is 116466702311. The next prime is 116466702361. The reversal of 116466702336 is 633207664611.

116466702336 is a `hidden beast` number, since 116 + 466 + 70 + 2 + 3 + 3 + 6 = 666.

116466702336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (116466702311) and next prime (116466702361).

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 116466702291 and 116466702300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94610841 + ... + 94612071.

It is an arithmetic number, because the mean of its divisors is an integer number (945945000).

Almost surely, 2116466702336 is an apocalyptic number.

116466702336 is a gapful number since it is divisible by the number (16) 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 116466702336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440000).

116466702336 is an abundant number, since it is smaller than the sum of its proper divisors (246776177664).

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

116466702336 is a wasteful number, since it uses less digits than its factorization.

116466702336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 116466702336 in words is "one hundred sixteen billion, four hundred sixty-six million, seven hundred two thousand, three hundred thirty-six".