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12839564002177 = 1112710638646107
BaseRepresentation
bin1011101011010111000110…
…1001101100001110000001
31200110110011021212101201001
42322311301221230032001
53140330411341032202
643150225252212001
72463425236204453
oct272656151541601
950413137771631
1012839564002177
114100257174a60
12153448800a001
137219c52b5223
1432561c65a2d3
15173ebe7c4d87
hexbad71a6c381

12839564002177 has 16 divisors (see below), whose sum is σ = 14130368888832. Its totient is φ = 11569527360720.

The previous prime is 12839564002163. The next prime is 12839564002183. The reversal of 12839564002177 is 77120046593821.

12839564002177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12839564002177 - 211 = 12839564000129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12839564002777) 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, 2838043 + ... + 5808064.

It is an arithmetic number, because the mean of its divisors is an integer number (883148055552).

It is a 2-persistent number, because it is pandigital, and so is 2⋅12839564002177 = 25679128004354, but 3⋅12839564002177 = 38518692006531 is not.

Almost surely, 212839564002177 is an apocalyptic number.

It is an amenable number.

12839564002177 is a deficient number, since it is larger than the sum of its proper divisors (1290804886655).

12839564002177 is a wasteful number, since it uses less digits than its factorization.

12839564002177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8647308.

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 12839564002177 in words is "twelve trillion, eight hundred thirty-nine billion, five hundred sixty-four million, two thousand, one hundred seventy-seven".

Divisors: 1 11 127 1063 1397 11693 135001 1485011 8646107 95107177 1098055589 9190811741 12078611479 101098929151 1167233091107 12839564002177