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12977731386 = 2351913910111
BaseRepresentation
bin11000001011000100…
…00111011100111010
31020111102220001200000
430011202013130322
5203034244401021
65543433453430
7636412616364
oct140542073472
936442801600
1012977731386
11555a655744
122622271276
1312ba8a5ac9
148b180dd34
1550e503b26
hex30588773a

12977731386 has 96 divisors (see below), whose sum is σ = 30918451200. Its totient is φ = 4068344880.

The previous prime is 12977731381. The next prime is 12977731397. The reversal of 12977731386 is 68313777921.

12977731386 is a `hidden beast` number, since 129 + 77 + 73 + 1 + 386 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12977731381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1278471 + ... + 1288581.

It is an arithmetic number, because the mean of its divisors is an integer number (322067200).

Almost surely, 212977731386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12977731386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15459225600).

12977731386 is an abundant number, since it is smaller than the sum of its proper divisors (17940719814).

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

12977731386 is a wasteful number, since it uses less digits than its factorization.

12977731386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10286 (or 10274 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The spelling of 12977731386 in words is "twelve billion, nine hundred seventy-seven million, seven hundred thirty-one thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 139 162 171 243 278 342 417 486 513 834 1026 1251 1539 2502 2641 3078 3753 4617 5282 7506 7923 9234 10111 11259 15846 20222 22518 23769 30333 33777 47538 60666 67554 71307 90999 142614 181998 192109 213921 272997 384218 427842 545994 576327 641763 818991 1152654 1283526 1405429 1637982 1728981 2456973 2810858 3457962 4216287 4913946 5186943 8432574 10373886 12648861 15560829 25297722 26703151 31121658 37946583 46682487 53406302 75893166 80109453 93364974 113839749 160218906 227679498 240328359 341519247 480656718 683038494 720985077 1441970154 2162955231 4325910462 6488865693 12977731386