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8138103777459 = 331463320598049
BaseRepresentation
bin111011001101100110011…
…0010001110100010110011
31001210222212110000012022000
41312123030302032202303
52031313314031334314
625150332051145043
71466646540521025
oct166331462164263
931728773005260
108138103777459
112658394471307
12ab52765a5183
1347055c675a86
14201c5a108015
15e1a56473209
hex766ccc8e8b3

8138103777459 has 16 divisors (see below), whose sum is σ = 12057274548000. Its totient is φ = 5425031490048.

The previous prime is 8138103777457. The next prime is 8138103777497. The reversal of 8138103777459 is 9547773018318.

8138103777459 is a `hidden beast` number, since 8 + 1 + 3 + 8 + 103 + 7 + 77 + 459 = 666.

It is not a de Polignac number, because 8138103777459 - 21 = 8138103777457 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8138103777396 and 8138103777405.

It is not an unprimeable number, because it can be changed into a prime (8138103777457) 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, 9903934 + ... + 10694115.

It is an arithmetic number, because the mean of its divisors is an integer number (753579659250).

Almost surely, 28138103777459 is an apocalyptic number.

8138103777459 is a deficient number, since it is larger than the sum of its proper divisors (3919170770541).

8138103777459 is a wasteful number, since it uses less digits than its factorization.

8138103777459 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20612691 (or 20612685 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 8138103777459 in words is "eight trillion, one hundred thirty-eight billion, one hundred three million, seven hundred seventy-seven thousand, four hundred fifty-nine".

Divisors: 1 3 9 27 14633 43899 131697 395091 20598049 61794147 185382441 556147323 301411251017 904233753051 2712701259153 8138103777459