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12794352704 = 267299371051
BaseRepresentation
bin10111110101001101…
…00101010001000000
31020000122211110101222
423322212211101000
5202200323241304
65513323214212
7632025126560
oct137246452100
936018743358
1012794352704
115476095611
122590977368
13128b8bb103
14895316da0
154ed37e4be
hex2fa9a5440

12794352704 has 112 divisors (see below), whose sum is σ = 30076932480. Its totient is φ = 5283532800.

The previous prime is 12794352679. The next prime is 12794352709. The reversal of 12794352704 is 40725349721.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×127943527042 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12794352709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12172979 + ... + 12174029.

It is an arithmetic number, because the mean of its divisors is an integer number (268544040).

Almost surely, 212794352704 is an apocalyptic number.

12794352704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12794352704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15038466240).

12794352704 is an abundant number, since it is smaller than the sum of its proper divisors (17282579776).

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

12794352704 is a wasteful number, since it uses less digits than its factorization.

12794352704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 12794352704 in words is "twelve billion, seven hundred ninety-four million, three hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 937 1051 1624 1856 1874 2102 3248 3748 4204 6496 6559 7357 7496 8408 12992 13118 14714 14992 16816 26236 27173 29428 29984 30479 33632 52472 54346 58856 59968 60958 67264 104944 108692 117712 121916 190211 209888 213353 217384 235424 243832 380422 419776 426706 434768 470848 487664 760844 853412 869536 975328 984787 1521688 1706824 1739072 1950656 1969574 3043376 3413648 3939148 6086752 6827296 6893509 7878296 12173504 13654592 13787018 15756592 27574036 28558823 31513184 55148072 57117646 63026368 110296144 114235292 199911761 220592288 228470584 399823522 441184576 456941168 799647044 913882336 1599294088 1827764672 3198588176 6397176352 12794352704