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12664140181 = 71129311131619
BaseRepresentation
bin10111100101101011…
…10111000110010101
31012200120210222101221
423302311313012111
5201414004441211
65452352250341
7625554262330
oct136265670625
935616728357
1012664140181
115409638a60
1225552409b1
13126a929994
14881cdd617
154e1c0cc71
hex2f2d77195

12664140181 has 64 divisors (see below), whose sum is σ = 17020108800. Its totient is φ = 9133286400.

The previous prime is 12664140179. The next prime is 12664140217. The reversal of 12664140181 is 18104146621.

It is a happy number.

It is not a de Polignac number, because 12664140181 - 21 = 12664140179 is a prime.

It is a super-2 number, since 2×126641401812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12664140161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7821390 + ... + 7823008.

It is an arithmetic number, because the mean of its divisors is an integer number (265939200).

Almost surely, 212664140181 is an apocalyptic number.

12664140181 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12664140181 is a deficient number, since it is larger than the sum of its proper divisors (4355968619).

12664140181 is a wasteful number, since it uses less digits than its factorization.

12664140181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810.

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 12664140181 in words is "twelve billion, six hundred sixty-four million, one hundred forty thousand, one hundred eighty-one".

Divisors: 1 7 11 29 31 77 113 203 217 319 341 791 899 1243 1619 2233 2387 3277 3503 6293 8701 9889 11333 17809 22939 24521 36047 38533 46951 50189 69223 101587 124663 182947 252329 269731 328657 351323 516461 552079 711109 1117457 1280629 1455481 2012417 3615227 3864553 5305463 5671357 7822199 10188367 14086919 16010291 37138241 39699499 58360093 62384927 112072037 164469353 408520651 436694489 1151285471 1809162883 12664140181