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116742774960 = 24335715151133
BaseRepresentation
bin110110010111001101…
…0010110000010110000
3102011100000010102202000
41230232122112002300
53403042122244320
6125344134454000
711301665133330
oct1545632260260
9364300112660
10116742774960
11455682867a9
121a760b04300
13b016430986
1459169030c0
153084051c90
hex1b2e6960b0

116742774960 has 320 divisors, whose sum is σ = 462611343360. Its totient is φ = 26506828800.

The previous prime is 116742774937. The next prime is 116742774971. The reversal of 116742774960 is 69477247611.

It is a happy number.

116742774960 is a `hidden beast` number, since 1 + 1 + 67 + 427 + 74 + 96 + 0 = 666.

It is a super-2 number, since 2×1167427749602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 116742774897 and 116742774906.

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 63 ways as a sum of consecutive naturals, for example, 2257554 + ... + 2308686.

It is an arithmetic number, because the mean of its divisors is an integer number (1445660448).

Almost surely, 2116742774960 is an apocalyptic number.

116742774960 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 116742774960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231305671680).

116742774960 is an abundant number, since it is smaller than the sum of its proper divisors (345868568400).

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

116742774960 is a wasteful number, since it uses less digits than its factorization.

116742774960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51313 (or 51301 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 116742774960 in words is "one hundred sixteen billion, seven hundred forty-two million, seven hundred seventy-four thousand, nine hundred sixty".