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12768833886721 = 1123211239192887
BaseRepresentation
bin1011100111001111100111…
…0011101101101000000001
31200012200120222200020201021
42321303321303231220001
53133201032433333341
643053531000305441
72455342415144353
oct271637163555001
950180528606637
1012768833886721
114083260934390
121522828772281
13718132815ac3
1432202caab0d3
151722300439d1
hexb9cf9ceda01

12768833886721 has 16 divisors (see below), whose sum is σ = 14604160969728. Its totient is φ = 11050711333200.

The previous prime is 12768833886691. The next prime is 12768833886749.

12768833886721 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12768833886721 - 25 = 12768833886689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12768833886751) 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, 119543061 + ... + 119649826.

It is an arithmetic number, because the mean of its divisors is an integer number (912760060608).

Almost surely, 212768833886721 is an apocalyptic number.

12768833886721 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12768833886721 is a deficient number, since it is larger than the sum of its proper divisors (1835327083007).

12768833886721 is a wasteful number, since it uses less digits than its factorization.

12768833886721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239193132.

The product of its digits is 260112384, while the sum is 70.

The spelling of 12768833886721 in words is "twelve trillion, seven hundred sixty-eight billion, eight hundred thirty-three million, eight hundred eighty-six thousand, seven hundred twenty-one".

Divisors: 1 11 23 211 253 2321 4853 53383 239192887 2631121757 5501436401 50469699157 60515800411 555166690727 1160803080611 12768833886721