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116018749440 = 213345112172
BaseRepresentation
bin110110000001101000…
…0011010000000000000
3102002110112202010110000
41230003100122000000
53400101244440230
6125144232240000
711245024045626
oct1540320320000
9362415663400
10116018749440
1145226617700
121a59a540000
13ac2c42bac9
1458886b3516
1530406d5b60
hex1b0341a000

116018749440 has 1260 divisors, whose sum is σ = 485646282198. Its totient is φ = 26471301120.

The previous prime is 116018749433. The next prime is 116018749453. The reversal of 116018749440 is 44947810611.

116018749440 is a `hidden beast` number, since 1 + 160 + 1 + 8 + 7 + 49 + 440 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 112767012864 + 3251736576 = 335808^2 + 57024^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 6824632312 + ... + 6824632328.

Almost surely, 2116018749440 is an apocalyptic number.

116018749440 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 116018749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242823141099).

116018749440 is an abundant number, since it is smaller than the sum of its proper divisors (369627532758).

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

116018749440 is an equidigital number, since it uses as much as digits as its factorization.

116018749440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 116018749440 in words is "one hundred sixteen billion, eighteen million, seven hundred forty-nine thousand, four hundred forty".