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130812764790 = 235127266312893
BaseRepresentation
bin111100111010100001…
…1000110001001110110
3110111122120021222022110
41321311003012021312
54120401031433130
6140032231311450
712310443104001
oct1716503061166
9414576258273
10130812764790
1150528439374
1221428b1b586
13c4493a6846
14648d3d8538
1536093acab0
hex1e750c6276

130812764790 has 64 divisors (see below), whose sum is σ = 316566061056. Its totient is φ = 34593052032.

The previous prime is 130812764779. The next prime is 130812764791. The reversal of 130812764790 is 97467218031.

It is a happy number.

It is a super-2 number, since 2×1308127647902 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130812764791) 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 31 ways as a sum of consecutive naturals, for example, 10139584 + ... + 10152476.

It is an arithmetic number, because the mean of its divisors is an integer number (4946344704).

Almost surely, 2130812764790 is an apocalyptic number.

130812764790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130812764790 is an abundant number, since it is smaller than the sum of its proper divisors (185753296266).

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

130812764790 is a wasteful number, since it uses less digits than its factorization.

130812764790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15693.

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 130812764790 in words is "one hundred thirty billion, eight hundred twelve million, seven hundred sixty-four thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 127 254 381 635 762 1270 1905 2663 3810 5326 7989 12893 13315 15978 25786 26630 38679 39945 64465 77358 79890 128930 193395 338201 386790 676402 1014603 1637411 1691005 2029206 3274822 3382010 4912233 5073015 8187055 9824466 10146030 16374110 24561165 34334059 49122330 68668118 103002177 171670295 206004354 343340590 515010885 1030021770 4360425493 8720850986 13081276479 21802127465 26162552958 43604254930 65406382395 130812764790