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13876108009064 = 2372172082249101
BaseRepresentation
bin1100100111101100100001…
…1111010001111001101000
31211010112122211021201101122
43021323020133101321220
53304321232122242224
645302332423434412
72631341614661600
oct311731037217150
954115584251348
1013876108009064
11446a908249134
1216813485b5a08
13798685634282
1435d870289c00
15190e3940a15e
hexc9ec87d1e68

13876108009064 has 48 divisors (see below), whose sum is σ = 32045813679780. Its totient is φ = 5597085580800.

The previous prime is 13876108009031. The next prime is 13876108009069. The reversal of 13876108009064 is 46090080167831.

It can be written as a sum of positive squares in 2 ways, for example, as 13858063460164 + 18044548900 = 3722642^2 + 134330^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13876108008997 and 13876108009015.

It is not an unprimeable number, because it can be changed into a prime (13876108009069) 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 11 ways as a sum of consecutive naturals, for example, 1041117887 + ... + 1041131214.

Almost surely, 213876108009064 is an apocalyptic number.

13876108009064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13876108009064 is an abundant number, since it is smaller than the sum of its proper divisors (18169705670716).

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

13876108009064 is a wasteful number, since it uses less digits than its factorization.

13876108009064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082249138 (or 2082249127 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 53.

The spelling of 13876108009064 in words is "thirteen trillion, eight hundred seventy-six billion, one hundred eight million, nine thousand, sixty-four".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1666 3332 6664 2082249101 4164498202 8328996404 14575743707 16657992808 29151487414 35398234717 58302974828 70796469434 102030205949 116605949656 141592938868 204060411898 247787643019 283185877736 408120823796 495575286038 816241647592 991150572076 1734513501133 1982301144152 3469027002266 6938054004532 13876108009064