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115078870656 = 273299894853
BaseRepresentation
bin110101100101100111…
…1000011011010000000
3102000001001012100010200
41223023033003122000
53341140142330111
6124511055325200
711212522155351
oct1531317033200
9360031170120
10115078870656
1144894027882
121a377820800
13ab0c7b1b09
1457d9935d28
152ed7e2d256
hex1acb3c3680

115078870656 has 48 divisors (see below), whose sum is σ = 331151441010. Its totient is φ = 38359623168.

The previous prime is 115078870649. The next prime is 115078870693. The reversal of 115078870656 is 656078870511.

115078870656 is a `hidden beast` number, since 1 + 1 + 507 + 8 + 8 + 70 + 65 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80079944256 + 34998926400 = 282984^2 + 187080^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 5 ways as a sum of consecutive naturals, for example, 49946275 + ... + 49948578.

Almost surely, 2115078870656 is an apocalyptic number.

115078870656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

115078870656 is an abundant number, since it is smaller than the sum of its proper divisors (216072570354).

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

115078870656 is an equidigital number, since it uses as much as digits as its factorization.

115078870656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99894873 (or 99894858 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 115078870656 in words is "one hundred fifteen billion, seventy-eight million, eight hundred seventy thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 99894853 199789706 299684559 399579412 599369118 799158824 899053677 1198738236 1598317648 1798107354 2397476472 3196635296 3596214708 4794952944 6393270592 7192429416 9589905888 12786541184 14384858832 19179811776 28769717664 38359623552 57539435328 115078870656