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12685256172 = 223231411072591
BaseRepresentation
bin10111101000001100…
…11010010111101100
31012202001112210002200
423310012122113230
5201434411144142
65454425021500
7626231620101
oct136406322754
935661483080
1012685256172
11541a550796
122560324890
131272111054
14884a38aa8
154e39ce64c
hex2f419a5ec

12685256172 has 144 divisors (see below), whose sum is σ = 34237292544. Its totient is φ = 3953376000.

The previous prime is 12685256161. The next prime is 12685256179. The reversal of 12685256172 is 27165258621.

12685256172 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 5 + 25 + 617 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (12685256179) 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, 4894597 + ... + 4897187.

It is an arithmetic number, because the mean of its divisors is an integer number (237758976).

Almost surely, 212685256172 is an apocalyptic number.

12685256172 is a gapful number since it is divisible by the number (12) 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 12685256172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17118646272).

12685256172 is an abundant number, since it is smaller than the sum of its proper divisors (21552036372).

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

12685256172 is a wasteful number, since it uses less digits than its factorization.

12685256172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2775 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 12685256172 in words is "twelve billion, six hundred eighty-five million, two hundred fifty-six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 41 62 82 93 107 123 124 164 186 214 246 279 321 369 372 428 492 558 642 738 963 1116 1271 1284 1476 1926 2542 2591 3317 3813 3852 4387 5084 5182 6634 7626 7773 8774 9951 10364 11439 13161 13268 15252 15546 17548 19902 22878 23319 26322 29853 31092 39483 39804 45756 46638 52644 59706 78966 80321 93276 106231 119412 135997 157932 160642 212462 240963 271994 277237 318693 321284 407991 424924 481926 543988 554474 637386 722889 815982 831711 956079 963852 1108948 1223973 1274772 1445778 1631964 1663422 1912158 2447946 2495133 2891556 3293161 3326844 3824316 4895892 4990266 6586322 8594347 9879483 9980532 11366717 13172644 17188694 19758966 22733434 25783041 29638449 34100151 34377388 39517932 45466868 51566082 59276898 68200302 77349123 102300453 103132164 118553796 136400604 154698246 204600906 309396492 352368227 409201812 704736454 1057104681 1409472908 2114209362 3171314043 4228418724 6342628086 12685256172