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12894795700 = 2252709181873
BaseRepresentation
bin11000000001001011…
…01111011110110100
31020021122211111021221
430000211233132310
5202402031430300
65531312120124
7634354645363
oct140045573664
936248744257
1012894795700
115517859956
1225ba536044
1312a6658437
148a47c17da
155070c031a
hex30096f7b4

12894795700 has 36 divisors (see below), whose sum is σ = 28021327180. Its totient is φ = 5150615040.

The previous prime is 12894795691. The next prime is 12894795707. The reversal of 12894795700 is 759749821.

12894795700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1799965476 + 11094830224 = 42426^2 + 105332^2 .

It is a super-2 number, since 2×128947957002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12894795707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20037 + ... + 161836.

Almost surely, 212894795700 is an apocalyptic number.

12894795700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12894795700 is an abundant number, since it is smaller than the sum of its proper divisors (15126531480).

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

12894795700 is a wasteful number, since it uses less digits than its factorization.

12894795700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182596 (or 182589 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 52.

The spelling of 12894795700 in words is "twelve billion, eight hundred ninety-four million, seven hundred ninety-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 709 1418 2836 3545 7090 14180 17725 35450 70900 181873 363746 727492 909365 1818730 3637460 4546825 9093650 18187300 128947957 257895914 515791828 644739785 1289479570 2578959140 3223698925 6447397850 12894795700