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116690176931328 = 29347211132172379
BaseRepresentation
bin11010100010000100001100…
…100010110111011000000000
3120022011110202001202010210000
4122202010030202313120000
5110243322440243300303
61052102421025440000
733402405236250300
oct3242041442673000
9508143661663700
10116690176931328
11341aa031853370
12111074081a0000
135015ab494bc00
1420b5b985ab600
15d755a5193da3
hex6a210c8b7600

116690176931328 has 7200 divisors, whose sum is σ = 535478365762560. Its totient is φ = 24868230266880.

The previous prime is 116690176931299. The next prime is 116690176931369. The reversal of 116690176931328 is 823139671096611.

It is a happy number.

116690176931328 is a `hidden beast` number, since 1 + 1 + 66 + 90 + 176 + 9 + 313 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 719 ways as a sum of consecutive naturals, for example, 1477090847193 + ... + 1477090847271.

Almost surely, 2116690176931328 is an apocalyptic number.

116690176931328 is a gapful number since it is divisible by the number (18) 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 116690176931328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267739182881280).

116690176931328 is an abundant number, since it is smaller than the sum of its proper divisors (418788188831232).

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

116690176931328 is a wasteful number, since it uses less digits than its factorization.

116690176931328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 116690176931328 in words is "one hundred sixteen trillion, six hundred ninety billion, one hundred seventy-six million, nine hundred thirty-one thousand, three hundred twenty-eight".