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12814002765759 = 3132314285398847
BaseRepresentation
bin1011101001110111111000…
…0101010011111110111111
31200101000011212220001021010
42322131332011103332333
53134421034202001014
643130401022210303
72461531635242346
oct272357605237677
950330155801233
1012814002765759
1140a042a556788
12152b533723993
1371c480705c70
143242b593ab5d
151734c56e0359
hexba77e153fbf

12814002765759 has 16 divisors (see below), whose sum is σ = 19199576051712. Its totient is φ = 7542690590688.

The previous prime is 12814002765749. The next prime is 12814002765761. The reversal of 12814002765759 is 95756720041821.

It is not a de Polignac number, because 12814002765759 - 215 = 12814002732991 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12814002765699 and 12814002765708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12814002765719) 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, 7142698527 + ... + 7142700320.

It is an arithmetic number, because the mean of its divisors is an integer number (1199973503232).

Almost surely, 212814002765759 is an apocalyptic number.

12814002765759 is a deficient number, since it is larger than the sum of its proper divisors (6385573285953).

12814002765759 is a wasteful number, since it uses less digits than its factorization.

12814002765759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14285398886.

The product of its (nonzero) digits is 8467200, while the sum is 57.

The spelling of 12814002765759 in words is "twelve trillion, eight hundred fourteen billion, two million, seven hundred sixty-five thousand, seven hundred fifty-nine".

Divisors: 1 3 13 23 39 69 299 897 14285398847 42856196541 185710185011 328564173481 557130555033 985692520443 4271334255253 12814002765759