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130055095872 = 26321361284729
BaseRepresentation
bin111100100011111100…
…0110100011001000000
3110102200202121101221200
41321013320310121000
54112323101031442
6135425124021200
712252613034502
oct1710770643100
9412622541850
10130055095872
1150179790509
1221257231800
13c358425540
14641a92bd72
1535b2ae834c
hex1e47e34640

130055095872 has 168 divisors, whose sum is σ = 408037451640. Its totient is φ = 39360798720.

The previous prime is 130055095831. The next prime is 130055095879. The reversal of 130055095872 is 278590550031.

130055095872 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 550 + 95 + 8 + 7 + 2 = 666.

130055095872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15719141376 + 114335954496 = 125376^2 + 338136^2 .

It is a super-2 number, since 2×1300550958722 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130055095879) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 314404 + ... + 599132.

It is an arithmetic number, because the mean of its divisors is an integer number (2428794355).

Almost surely, 2130055095872 is an apocalyptic number.

130055095872 is a gapful number since it is divisible by the number (12) 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 130055095872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204018725820).

130055095872 is an abundant number, since it is smaller than the sum of its proper divisors (277982355768).

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

130055095872 is a wasteful number, since it uses less digits than its factorization.

130055095872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284821 (or 284808 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 130055095872 in words is "one hundred thirty billion, fifty-five million, ninety-five thousand, eight hundred seventy-two".