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116698014000 = 24325371127719
BaseRepresentation
bin110110010101110111…
…1100110000100110000
3102011012212220100020200
41230223233212010300
53402444142422000
6125335455235200
711300612516031
oct1545357460460
9364185810220
10116698014000
1145544a94177
121a749b18b00
13b00a08b0b9
1459109b0a88
15308015e500
hex1b2bbe6130

116698014000 has 480 divisors, whose sum is σ = 417161871360. Its totient is φ = 30397248000.

The previous prime is 116698013947. The next prime is 116698014011. The reversal of 116698014000 is 410896611.

It is a happy number.

116698014000 is a `hidden beast` number, since 1 + 166 + 98 + 0 + 1 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 162305641 + ... + 162306359.

It is an arithmetic number, because the mean of its divisors is an integer number (869087232).

Almost surely, 2116698014000 is an apocalyptic number.

116698014000 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 116698014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208580935680).

116698014000 is an abundant number, since it is smaller than the sum of its proper divisors (300463857360).

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

116698014000 is a wasteful number, since it uses less digits than its factorization.

116698014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 116698014000 in words is "one hundred sixteen billion, six hundred ninety-eight million, fourteen thousand".