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130784756928 = 2637213901441
BaseRepresentation
bin111100111001101100…
…0010000010011000000
3110111120121121000202020
41321303120100103000
54120321344210203
6140025351121440
712306653043300
oct1716330202300
9414517530666
10130784756928
1150513649681
122141b673280
13c44364b547
1464897c7600
153606bc9153
hex1e736104c0

130784756928 has 84 divisors (see below), whose sum is σ = 402530154552. Its totient is φ = 37367070720.

The previous prime is 130784756923. The next prime is 130784756969. The reversal of 130784756928 is 829657487031.

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (130784756923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6941313 + ... + 6960128.

It is a 1-persistent number, because it is pandigital, but 2⋅130784756928 = 261569513856 is not.

Almost surely, 2130784756928 is an apocalyptic number.

It is an amenable number.

130784756928 is an abundant number, since it is smaller than the sum of its proper divisors (271745397624).

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

130784756928 is a wasteful number, since it uses less digits than its factorization.

130784756928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13901470 (or 13901453 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 130784756928 in words is "one hundred thirty billion, seven hundred eighty-four million, seven hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 13901441 27802882 41704323 55605764 83408646 97310087 111211528 166817292 194620174 222423056 291930261 333634584 389240348 444846112 583860522 667269168 681170609 778480696 889692224 1167721044 1334538336 1362341218 1556961392 2043511827 2335442088 2669076672 2724682436 3113922784 4087023654 4670884176 5449364872 6227845568 8174047308 9341768352 10898729744 16348094616 18683536704 21797459488 32696189232 43594918976 65392378464 130784756928