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130887982424808 = 23327237099768261
BaseRepresentation
bin11101110000101010111011…
…101100101010001011101000
3122011102202202112121022000200
4131300222323230222023220
5114123432042000043213
61142213035315032200
736366226135605600
oct3560527354521350
9564382675538020
10130887982424808
11387833109219a4
121281ab7459b660
1358058b7364c4b
1424470254adc00
15101ea6ba32273
hex770abbb2a2e8

130887982424808 has 72 divisors (see below), whose sum is σ = 412363924232130. Its totient is φ = 37396566406080.

The previous prime is 130887982424761. The next prime is 130887982424819. The reversal of 130887982424808 is 808424289788031.

130887982424808 is a `hidden beast` number, since 1 + 30 + 8 + 8 + 7 + 98 + 2 + 424 + 80 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78714548782884 + 52173433641924 = 8872122^2 + 7223118^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 18549880603 + ... + 18549887658.

Almost surely, 2130887982424808 is an apocalyptic number.

130887982424808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130887982424808 is an abundant number, since it is smaller than the sum of its proper divisors (281475941807322).

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

130887982424808 is a wasteful number, since it uses less digits than its factorization.

130887982424808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37099768287 (or 37099768273 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 72.

The spelling of 130887982424808 in words is "one hundred thirty trillion, eight hundred eighty-seven billion, nine hundred eighty-two million, four hundred twenty-four thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 37099768261 74199536522 111299304783 148399073044 222598609566 259698377827 296798146088 333897914349 445197219132 519396755654 667795828698 779095133481 890394438264 1038793511308 1335591657396 1558190266962 1817888644789 2077587022616 2337285400443 2671183314792 3116380533924 3635777289578 4674570800886 5453665934367 6232761067848 7271554579156 9349141601772 10907331868734 14543109158312 16360997803101 18698283203544 21814663737468 32721995606202 43629327474936 65443991212404 130887982424808