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12771272808 = 2333761138469
BaseRepresentation
bin10111110010011101…
…00010100001101000
31012222001101212202000
423321032202201220
5202123421212213
65511140411000
7631325012340
oct137116424150
935861355660
1012771272808
115464061318
1225850a6a60
131286b99b78
14892229d20
154eb320c73
hex2f93a2868

12771272808 has 128 divisors (see below), whose sum is σ = 41208672000. Its totient is φ = 3589090560.

The previous prime is 12771272803. The next prime is 12771272827. The reversal of 12771272808 is 80827217721.

It is not an unprimeable number, because it can be changed into a prime (12771272803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22998 + ... + 161466.

It is an arithmetic number, because the mean of its divisors is an integer number (321942750).

Almost surely, 212771272808 is an apocalyptic number.

12771272808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12771272808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20604336000).

12771272808 is an abundant number, since it is smaller than the sum of its proper divisors (28437399192).

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

12771272808 is a wasteful number, since it uses less digits than its factorization.

12771272808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138552 (or 138542 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 45.

The spelling of 12771272808 in words is "twelve billion, seven hundred seventy-one million, two hundred seventy-two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 61 63 72 84 108 122 126 168 183 189 216 244 252 366 378 427 488 504 549 732 756 854 1098 1281 1464 1512 1647 1708 2196 2562 3294 3416 3843 4392 5124 6588 7686 10248 11529 13176 15372 23058 30744 46116 92232 138469 276938 415407 553876 830814 969283 1107752 1246221 1661628 1938566 2492442 2907849 3323256 3738663 3877132 4984884 5815698 7477326 7754264 8446609 8723547 9969768 11631396 14954652 16893218 17447094 23262792 25339827 26170641 29909304 33786436 34894188 50679654 52341282 59126263 67572872 69788376 76019481 101359308 104682564 118252526 152038962 177378789 202718616 209365128 228058443 236505052 304077924 354757578 456116886 473010104 532136367 608155848 709515156 912233772 1064272734 1419030312 1596409101 1824467544 2128545468 3192818202 4257090936 6385636404 12771272808