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130899901685760 = 21334539454301
BaseRepresentation
bin11101110000110110000010…
…001001000010000000000000
3122011110220112012210111020000
4131300312002021002000000
5114124130444312421020
61142222330142120000
736400130406630534
oct3560660211020000
9564426465714200
10130899901685760
1138788377a48089
1212821340280000
135806a6686ab8c
1424478364b1bc4
151020018155090
hex770d82242000

130899901685760 has 280 divisors, whose sum is σ = 469271756337516. Its totient is φ = 34906639564800.

The previous prime is 130899901685759. The next prime is 130899901685771. The reversal of 130899901685760 is 67586109998031.

130899901685760 is a `hidden beast` number, since 1 + 30 + 8 + 9 + 9 + 9 + 0 + 16 + 8 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 124983098413056 + 5916803272704 = 11179584^2 + 2432448^2 .

It is a super-2 number, since 2×1308999016857602 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16409391 + ... + 23044910.

Almost surely, 2130899901685760 is an apocalyptic number.

130899901685760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130899901685760 is an abundant number, since it is smaller than the sum of its proper divisors (338371854651756).

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

130899901685760 is an frugal number, since it uses more digits than its factorization.

130899901685760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39454344 (or 39454311 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 130899901685760 in words is "one hundred thirty trillion, eight hundred ninety-nine billion, nine hundred one million, six hundred eighty-five thousand, seven hundred sixty".