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12651683787768 = 2331274319630661
BaseRepresentation
bin1011100000011011001100…
…0111100011001111111000
31122210111012121002121111110
42320012303013203033320
53124241122022202033
642524034151200320
72444024342553354
oct270066307431770
948714177077443
1012651683787768
114038604740093
121503b933760a0
1370a082bab01c
1431a4b8058464
1516e175383363
hexb81b31e33f8

12651683787768 has 64 divisors (see below), whose sum is σ = 31952225157120. Its totient is φ = 4174313270400.

The previous prime is 12651683787761. The next prime is 12651683787803. The reversal of 12651683787768 is 86778738615621.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12651683787768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12651683787761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3501643 + ... + 6129018.

It is an arithmetic number, because the mean of its divisors is an integer number (499253518080).

Almost surely, 212651683787768 is an apocalyptic number.

It is an amenable number.

12651683787768 is an abundant number, since it is smaller than the sum of its proper divisors (19300541369352).

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

12651683787768 is a wasteful number, since it uses less digits than its factorization.

12651683787768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9631228 (or 9631224 counting only the distinct ones).

The product of its digits is 1137991680, while the sum is 75.

The spelling of 12651683787768 in words is "twelve trillion, six hundred fifty-one billion, six hundred eighty-three million, seven hundred eighty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 127 254 381 431 508 762 862 1016 1293 1524 1724 2586 3048 3448 5172 10344 54737 109474 164211 218948 328422 437896 656844 1313688 9630661 19261322 28891983 38522644 57783966 77045288 115567932 231135864 1223093947 2446187894 3669281841 4150814891 4892375788 7338563682 8301629782 9784751576 12452444673 14677127364 16603259564 24904889346 29354254728 33206519128 49809778692 99619557384 527153491157 1054306982314 1581460473471 2108613964628 3162920946942 4217227929256 6325841893884 12651683787768