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109328393236608 = 27337132294193623
BaseRepresentation
bin11000110110111100000000…
…000010101111000010000000
3112100002200200200221020202000
4120312330000002233002000
5103312214022132032413
61024304434232024000
732012500334312520
oct3066740002570200
9470080620836660
10109328393236608
1131920a028844a7
12103186a9832000
134900814366250
141cdd74590d680
15c98d3819b073
hex636f000af080

109328393236608 has 1024 divisors, whose sum is σ = 399929564160000. Its totient is φ = 28631529603072.

The previous prime is 109328393236591. The next prime is 109328393236609. The reversal of 109328393236608 is 806632393823901.

109328393236608 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 2 + 8 + 393 + 236 + 6 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (109328393236609) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 30176203885 + ... + 30176207507.

It is an arithmetic number, because the mean of its divisors is an integer number (390556215000).

Almost surely, 2109328393236608 is an apocalyptic number.

109328393236608 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 109328393236608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199964782080000).

109328393236608 is an abundant number, since it is smaller than the sum of its proper divisors (290601170923392).

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

109328393236608 is a wasteful number, since it uses less digits than its factorization.

109328393236608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 109328393236608 in words is "one hundred nine trillion, three hundred twenty-eight billion, three hundred ninety-three million, two hundred thirty-six thousand, six hundred eight".