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12788414712 = 2332685725903
BaseRepresentation
bin10111110100011111…
…11011100011111000
31020000020122210000100
423322033323203320
5202142313232322
65512552035400
7631623505623
oct137217734370
936006583010
1012788414712
1154727aa287
12258a992b60
13128a5bc3c8
1489460cdba
154ecaa9dac
hex2fa3fb8f8

12788414712 has 48 divisors (see below), whose sum is σ = 34641678240. Its totient is φ = 4262018688.

The previous prime is 12788414677. The next prime is 12788414731. The reversal of 12788414712 is 21741488721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 480753 + ... + 506655.

It is an arithmetic number, because the mean of its divisors is an integer number (721701630).

Almost surely, 212788414712 is an apocalyptic number.

12788414712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12788414712 is an abundant number, since it is smaller than the sum of its proper divisors (21853263528).

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

12788414712 is a wasteful number, since it uses less digits than its factorization.

12788414712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32772 (or 32765 counting only the distinct ones).

The product of its digits is 200704, while the sum is 45.

The spelling of 12788414712 in words is "twelve billion, seven hundred eighty-eight million, four hundred fourteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6857 13714 20571 25903 27428 41142 51806 54856 61713 77709 82284 103612 123426 155418 164568 207224 233127 246852 310836 466254 493704 621672 932508 1865016 177616871 355233742 532850613 710467484 1065701226 1420934968 1598551839 2131402452 3197103678 4262804904 6394207356 12788414712