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130886137832080 = 24510601154332301
BaseRepresentation
bin11101110000101001001101…
…110000000110001010010000
3122011102120222222200021111111
4131300221031300012022100
5114123414302241111310
61142212132303023104
736366132340044331
oct3560511560061220
9564376888607444
10130886137832080
11387825546800a4
121281a73a89aa94
135805682160a67
142446ccc50a288
15101e9aeb1b28a
hex770a4dc06290

130886137832080 has 40 divisors (see below), whose sum is σ = 304338978239544. Its totient is φ = 52349516160000.

The previous prime is 130886137832071. The next prime is 130886137832089. The reversal of 130886137832080 is 80238731688031.

It is an interprime number because it is at equal distance from previous prime (130886137832071) and next prime (130886137832089).

It can be written as a sum of positive squares in 4 ways, for example, as 41774350302864 + 89111787529216 = 6463308^2 + 9439904^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (130886137832089) 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 7 ways as a sum of consecutive naturals, for example, 76318071 + ... + 78014230.

Almost surely, 2130886137832080 is an apocalyptic number.

130886137832080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130886137832080 is an abundant number, since it is smaller than the sum of its proper divisors (173452840407464).

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

130886137832080 is a wasteful number, since it uses less digits than its factorization.

130886137832080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154342915 (or 154342909 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 58.

The spelling of 130886137832080 in words is "one hundred thirty trillion, eight hundred eighty-six billion, one hundred thirty-seven million, eight hundred thirty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 10601 21202 42404 53005 84808 106010 169616 212020 424040 848080 154332301 308664602 617329204 771661505 1234658408 1543323010 2469316816 3086646020 6173292040 12346584080 1636076722901 3272153445802 6544306891604 8180383614505 13088613783208 16360767229010 26177227566416 32721534458020 65443068916040 130886137832080