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12228711735 = 3529431733779
BaseRepresentation
bin10110110001110001…
…10101010100110111
31011120020110220212110
423120320311110313
5200021022233420
65341235422103
7612016222542
oct133070652467
934506426773
1012228711735
115205875139
122453454933
1311cb662606
14840155859
154b889bee0
hex2d8e35537

12228711735 has 64 divisors (see below), whose sum is σ = 20836569600. Its totient is φ = 6113468928.

The previous prime is 12228711697. The next prime is 12228711749. The reversal of 12228711735 is 53711782221.

It is not a de Polignac number, because 12228711735 - 220 = 12227663159 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12228711693 and 12228711702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3234076 + ... + 3237854.

It is an arithmetic number, because the mean of its divisors is an integer number (325571400).

Almost surely, 212228711735 is an apocalyptic number.

12228711735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12228711735 is a deficient number, since it is larger than the sum of its proper divisors (8607857865).

12228711735 is a wasteful number, since it uses less digits than its factorization.

12228711735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032.

The product of its digits is 47040, while the sum is 39.

The spelling of 12228711735 in words is "twelve billion, two hundred twenty-eight million, seven hundred eleven thousand, seven hundred thirty-five".

Divisors: 1 3 5 15 29 43 87 129 145 173 215 435 519 645 865 1247 2595 3741 3779 5017 6235 7439 11337 15051 18705 18895 22317 25085 37195 56685 75255 109591 111585 162497 215731 328773 487491 547955 647193 653767 812485 1078655 1643865 1961301 2437455 3235965 3268835 4712413 9806505 14137239 18959243 23562065 28111981 56877729 70686195 84335943 94796215 140559905 284388645 421679715 815247449 2445742347 4076237245 12228711735