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115657746048 = 2734131922377
BaseRepresentation
bin110101110110110111…
…1010010011010000000
3102001112101110020220000
41223231233102122000
53343331340333143
6125044334520000
711233051422615
oct1535557223200
9361471406800
10115657746048
1145060867499
121a4b9666000
13aba26c2430
14585278050c
15301db76bd3
hex1aedbd2680

115657746048 has 480 divisors, whose sum is σ = 391372595460. Its totient is φ = 33699815424.

The previous prime is 115657746037. The next prime is 115657746049. The reversal of 115657746048 is 840647756511.

115657746048 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 577 + 4 + 60 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108694177344 + 6963568704 = 329688^2 + 83448^2 .

It is a super-3 number, since 3×1156577460483 (a number of 34 digits) contains 333 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 = 115657745985 and 115657746003.

It is not an unprimeable number, because it can be changed into a prime (115657746049) 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 59 ways as a sum of consecutive naturals, for example, 48655836 + ... + 48658212.

Almost surely, 2115657746048 is an apocalyptic number.

115657746048 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 115657746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195686297730).

115657746048 is an abundant number, since it is smaller than the sum of its proper divisors (275714849412).

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

115657746048 is a wasteful number, since it uses less digits than its factorization.

115657746048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 115657746048 in words is "one hundred fifteen billion, six hundred fifty-seven million, seven hundred forty-six thousand, forty-eight".