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116993998080 = 2833559181317
BaseRepresentation
bin110110011110101100…
…0101011110100000000
3102011222111211220002000
41230331120223310000
53404100430414310
6125425111224000
711311135401261
oct1547530536400
9364874756060
10116993998080
1145687075413
121a811078000
13b0564b0ccb
14593c01a968
15309b1284c0
hex1b3d62bd00

116993998080 has 576 divisors, whose sum is σ = 425874758400. Its totient is φ = 30403952640.

The previous prime is 116993998073. The next prime is 116993998081. The reversal of 116993998080 is 80899399611.

116993998080 is a `hidden beast` number, since 1 + 1 + 6 + 99 + 399 + 80 + 80 = 666.

116993998080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 116993997999 and 116993998017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116993998081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 369066082 + ... + 369066398.

It is an arithmetic number, because the mean of its divisors is an integer number (739365900).

Almost surely, 2116993998080 is an apocalyptic number.

116993998080 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 116993998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212937379200).

116993998080 is an abundant number, since it is smaller than the sum of its proper divisors (308880760320).

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

116993998080 is a wasteful number, since it uses less digits than its factorization.

116993998080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 63.

The spelling of 116993998080 in words is "one hundred sixteen billion, nine hundred ninety-three million, nine hundred ninety-eight thousand, eighty".