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115478794368 = 273572918289
BaseRepresentation
bin110101110001100010…
…0101001000010000000
3102001001220201120100000
41223203010221002000
53343000032404433
6125014503200000
711225446361610
oct1534304510200
9361056646300
10115478794368
1144a79850443
121a469746000
13ab745c7772
145836abaa40
15300d0c9113
hex1ae3129080

115478794368 has 384 divisors, whose sum is σ = 407442672000. Its totient is φ = 31854477312.

The previous prime is 115478794367. The next prime is 115478794411. The reversal of 115478794368 is 863497874511.

115478794368 is a `hidden beast` number, since 1 + 1 + 547 + 87 + 9 + 4 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (115478794367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6304968 + ... + 6323256.

It is an arithmetic number, because the mean of its divisors is an integer number (1061048625).

Almost surely, 2115478794368 is an apocalyptic number.

115478794368 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 115478794368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203721336000).

115478794368 is an abundant number, since it is smaller than the sum of its proper divisors (291963877632).

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

115478794368 is an equidigital number, since it uses as much as digits as its factorization.

115478794368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18354 (or 18330 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 115478794368 in words is "one hundred fifteen billion, four hundred seventy-eight million, seven hundred ninety-four thousand, three hundred sixty-eight".