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116482268448 = 253272134172
BaseRepresentation
bin110110001111011100…
…0100101110100100000
3102010122211221022222200
41230132320211310200
53402023430042243
6125302231133200
711262352642200
oct1543670456440
9363584838880
10116482268448
1145444227367
121a6a9814200
13aca4480000
1458d0090400
15306b244ad3
hex1b1ee25d20

116482268448 has 810 divisors, whose sum is σ = 443436541821. Its totient is φ = 28913504256.

The previous prime is 116482268387. The next prime is 116482268477. The reversal of 116482268448 is 844862284611.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

116482268448 is a `hidden beast` number, since 1 + 1 + 64 + 82 + 2 + 68 + 448 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 25391785104 + 91090483344 = 159348^2 + 301812^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=241332.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 116482268394 and 116482268403.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6851898136 + ... + 6851898152.

Almost surely, 2116482268448 is an apocalyptic number.

116482268448 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 116482268448

116482268448 is an abundant number, since it is smaller than the sum of its proper divisors (326954273373).

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

116482268448 is an equidigital number, since it uses as much as digits as its factorization.

116482268448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 42 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The spelling of 116482268448 in words is "one hundred sixteen billion, four hundred eighty-two million, two hundred sixty-eight thousand, four hundred forty-eight".