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12862406772 = 2233294106771
BaseRepresentation
bin10111111101010100…
…01100000001110100
31020012101212222001000
423332222030001310
5202320234004042
65524154003300
7633512440125
oct137652140164
936171788030
1012862406772
115500547646
1225ab716530
13129ca27ca7
148a039004c
1550432374c
hex2fea8c074

12862406772 has 48 divisors (see below), whose sum is σ = 34496884800. Its totient is φ = 4139624160.

The previous prime is 12862406761. The next prime is 12862406779. The reversal of 12862406772 is 27760426821.

It is a happy number.

12862406772 is a `hidden beast` number, since 1 + 286 + 240 + 67 + 72 = 666.

12862406772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12862406779) 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 15 ways as a sum of consecutive naturals, for example, 2050254 + ... + 2056517.

It is an arithmetic number, because the mean of its divisors is an integer number (718685100).

Almost surely, 212862406772 is an apocalyptic number.

12862406772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12862406772 is an abundant number, since it is smaller than the sum of its proper divisors (21634478028).

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

12862406772 is a wasteful number, since it uses less digits than its factorization.

12862406772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106813 (or 4106805 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 12862406772 in words is "twelve billion, eight hundred sixty-two million, four hundred six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 4106771 8213542 12320313 16427084 24640626 36960939 49281252 73921878 110882817 119096359 147843756 221765634 238192718 357289077 443531268 476385436 714578154 1071867231 1429156308 2143734462 3215601693 4287468924 6431203386 12862406772