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12790131270 = 2357353317239
BaseRepresentation
bin10111110100101100…
…11110101001000110
31020000100212222200120
423322112132221012
5202143233200040
65513052522410
7631644215310
oct137226365106
936010788616
1012790131270
115473771a24
12258b480406
13128aa70817
148949387b0
154ecce87d0
hex2fa59ea46

12790131270 has 64 divisors (see below), whose sum is σ = 35093468160. Its totient is φ = 2922461568.

The previous prime is 12790131253. The next prime is 12790131281. The reversal of 12790131270 is 7213109721.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 733311 + ... + 750549.

It is an arithmetic number, because the mean of its divisors is an integer number (548335440).

Almost surely, 212790131270 is an apocalyptic number.

12790131270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12790131270 is an abundant number, since it is smaller than the sum of its proper divisors (22303336890).

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

12790131270 is a wasteful number, since it uses less digits than its factorization.

12790131270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20789.

The product of its (nonzero) digits is 5292, while the sum is 33.

The spelling of 12790131270 in words is "twelve billion, seven hundred ninety million, one hundred thirty-one thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 3533 7066 10599 17239 17665 21198 24731 34478 35330 49462 51717 52995 74193 86195 103434 105990 120673 123655 148386 172390 241346 247310 258585 362019 370965 517170 603365 724038 741930 1206730 1810095 3620190 60905387 121810774 182716161 304526935 365432322 426337709 609053870 852675418 913580805 1279013127 1827161610 2131688545 2558026254 4263377090 6395065635 12790131270