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12627765339 = 3731591632017
BaseRepresentation
bin10111100001010110…
…00110100001011011
31012121001100221111120
423300223012201123
5201330201442324
65445012500323
7624633143250
oct136053064133
935531327446
1012627765339
1153a0054002
12254501a6a3
1312632321c7
1487b151427
154dd925179
hex2f0ac685b

12627765339 has 64 divisors (see below), whose sum is σ = 20333690880. Its totient is φ = 6819240960.

The previous prime is 12627765331. The next prime is 12627765341. The reversal of 12627765339 is 93356772621.

12627765339 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12627765339 - 23 = 12627765331 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12627765291 and 12627765300.

It is not an unprimeable number, because it can be changed into a prime (12627765331) 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 63 ways as a sum of consecutive naturals, for example, 6259659 + ... + 6261675.

It is an arithmetic number, because the mean of its divisors is an integer number (317713920).

Almost surely, 212627765339 is an apocalyptic number.

12627765339 is a deficient number, since it is larger than the sum of its proper divisors (7705925541).

12627765339 is a wasteful number, since it uses less digits than its factorization.

12627765339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280.

The product of its digits is 2857680, while the sum is 51.

The spelling of 12627765339 in words is "twelve billion, six hundred twenty-seven million, seven hundred sixty-five thousand, three hundred thirty-nine".

Divisors: 1 3 7 21 31 59 93 163 177 217 413 489 651 1141 1239 1829 2017 3423 5053 5487 6051 9617 12803 14119 15159 28851 35371 38409 42357 62527 67319 106113 119003 187581 201957 298127 328771 357009 437689 833021 894381 986313 1313067 2086889 2301397 2499063 3689093 6260667 6904191 10191901 11067279 19397489 25823651 30575703 58192467 71343307 77470953 135782423 214029921 407347269 601322159 1803966477 4209255113 12627765339