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116931522240 = 2635513131883
BaseRepresentation
bin110110011100110101…
…0010110111011000000
3102011211011021210100000
41230321222112323000
53403433432202430
6125415000200000
711306446353051
oct1547152267300
9364734253300
10116931522240
1145654883395
121a7b4169000
13b046578160
1459339d6728
1530958d6e60
hex1b39a96ec0

116931522240 has 672 divisors, whose sum is σ = 453117240576. Its totient is φ = 28531077120.

The previous prime is 116931522203. The next prime is 116931522241. The reversal of 116931522240 is 42225139611.

116931522240 is a `hidden beast` number, since 1 + 1 + 6 + 93 + 1 + 522 + 2 + 40 = 666.

It is a super-2 number, since 2×1169315222402 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 116931522195 and 116931522204.

It is not an unprimeable number, because it can be changed into a prime (116931522241) by changing a digit.

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, 132424839 + ... + 132425721.

It is an arithmetic number, because the mean of its divisors is an integer number (674281608).

Almost surely, 2116931522240 is an apocalyptic number.

116931522240 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 116931522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226558620288).

116931522240 is an abundant number, since it is smaller than the sum of its proper divisors (336185718336).

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

116931522240 is a wasteful number, since it uses less digits than its factorization.

116931522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 116931522240 in words is "one hundred sixteen billion, nine hundred thirty-one million, five hundred twenty-two thousand, two hundred forty".