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116923753260 = 22335419975297
BaseRepresentation
bin110110011100100110…
…0101110001100101100
3102011210121200002022000
41230321030232030230
53403424440101020
6125414121452300
711306323335006
oct1547114561454
9364717602260
10116923753260
1145650457446
121a7b1641090
13b044a87c22
145932973376
153094da0090
hex1b3932e32c

116923753260 has 192 divisors, whose sum is σ = 373079226240. Its totient is φ = 30382940160.

The previous prime is 116923753253. The next prime is 116923753319. The reversal of 116923753260 is 62357329611.

116923753260 is a `hidden beast` number, since 1 + 16 + 9 + 2 + 375 + 3 + 260 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 22070932 + ... + 22076228.

It is an arithmetic number, because the mean of its divisors is an integer number (1943120970).

Almost surely, 2116923753260 is an apocalyptic number.

116923753260 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 116923753260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186539613120).

116923753260 is an abundant number, since it is smaller than the sum of its proper divisors (256155472980).

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

116923753260 is a wasteful number, since it uses less digits than its factorization.

116923753260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6353 (or 6345 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 116923753260 in words is "one hundred sixteen billion, nine hundred twenty-three million, seven hundred fifty-three thousand, two hundred sixty".