Search a number
-
+
12661646244 = 22313226935771
BaseRepresentation
bin10111100101011000…
…10110001110100100
31012200102010021100220
423302230112032210
5201412340134434
65452223004340
7625524134352
oct136254261644
935612107326
1012661646244
115408195255
1225544396b0
13126a265790
148818507d2
154e18b8d49
hex2f2b163a4

12661646244 has 48 divisors (see below), whose sum is σ = 31831356480. Its totient is φ = 3894065280.

The previous prime is 12661646243. The next prime is 12661646267. The reversal of 12661646244 is 44264616621.

12661646244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12661646196 and 12661646205.

It is not an unprimeable number, because it can be changed into a prime (12661646243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336079 + ... + 371849.

It is an arithmetic number, because the mean of its divisors is an integer number (663153260).

Almost surely, 212661646244 is an apocalyptic number.

It is an amenable number.

12661646244 is an abundant number, since it is smaller than the sum of its proper divisors (19169710236).

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

12661646244 is a wasteful number, since it uses less digits than its factorization.

12661646244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38060 (or 38058 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The spelling of 12661646244 in words is "twelve billion, six hundred sixty-one million, six hundred forty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 2269 4538 6807 9076 13614 27228 29497 35771 58994 71542 88491 107313 117988 143084 176982 214626 353964 429252 465023 930046 1395069 1860092 2790138 5580276 81164399 162328798 243493197 324657596 486986394 973972788 1055137187 2110274374 3165411561 4220548748 6330823122 12661646244