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12677371070 = 25713417373
BaseRepresentation
bin10111100111010000…
…10101010010111110
31012201111201011202212
423303220111102332
5201430401333240
65453544020422
7626104606340
oct136350252276
935644634685
1012677371070
115416055581
122559761712
1312705b0000
14883985290
154e2e73165
hex2f3a154be

12677371070 has 160 divisors (see below), whose sum is σ = 29994452928. Its totient is φ = 3766044672.

The previous prime is 12677371067. The next prime is 12677371073. The reversal of 12677371070 is 7017377621.

It is an interprime number because it is at equal distance from previous prime (12677371067) and next prime (12677371073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12677371073) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 33987404 + ... + 33987776.

Almost surely, 212677371070 is an apocalyptic number.

12677371070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12677371070 is an abundant number, since it is smaller than the sum of its proper divisors (17317081858).

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

12677371070 is an equidigital number, since it uses as much as digits as its factorization.

12677371070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 86436, while the sum is 41.

The spelling of 12677371070 in words is "twelve billion, six hundred seventy-seven million, three hundred seventy-one thousand, seventy".

Divisors: 1 2 5 7 10 13 14 17 26 34 35 65 70 85 91 119 130 169 170 182 221 238 338 373 442 455 595 746 845 910 1105 1183 1190 1547 1690 1865 2197 2210 2366 2611 2873 3094 3730 4394 4849 5222 5746 5915 6341 7735 9698 10985 11830 12682 13055 14365 15379 15470 20111 21970 24245 26110 28561 28730 30758 31705 33943 37349 40222 44387 48490 57122 63037 63410 67886 74698 76895 82433 88774 100555 126074 142805 153790 164866 169715 186745 199927 201110 221935 261443 285610 315185 339430 373490 399854 412165 441259 443870 485537 522886 577031 630370 819481 824330 882518 971074 999635 1071629 1154062 1307215 1638962 1999270 2143258 2206295 2427685 2614430 2885155 3398759 4097405 4412590 4855370 5358145 5736367 5770310 6797518 7501403 8194810 10653253 10716290 11472734 13931177 15002806 16993795 21306506 27862354 28681835 33987590 37507015 53266265 57363670 69655885 74572771 75014030 97518239 106532530 139311770 149145542 181105301 195036478 362210602 372863855 487591195 745727710 905526505 975182390 1267737107 1811053010 2535474214 6338685535 12677371070