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12730261674 = 231317232511663
BaseRepresentation
bin10111101101100100…
…00110000010101010
31012212012020022001010
423312302012002222
5202032421333144
65503113404350
7630316303344
oct136662060252
935765208033
1012730261674
1154429a0019
1225734096b6
13127b53b020
1488a9d2294
154e791e5b9
hex2f6c860aa

12730261674 has 128 divisors (see below), whose sum is σ = 30433148928. Its totient is φ = 3510144000.

The previous prime is 12730261669. The next prime is 12730261681. The reversal of 12730261674 is 47616203721.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7654167 + ... + 7655829.

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

Almost surely, 212730261674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12730261674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15216574464).

12730261674 is an abundant number, since it is smaller than the sum of its proper divisors (17702887254).

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

12730261674 is a wasteful number, since it uses less digits than its factorization.

12730261674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972.

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 12730261674 in words is "twelve billion, seven hundred thirty million, two hundred sixty-one thousand, six hundred seventy-four".

Divisors: 1 2 3 6 13 17 23 26 34 39 46 51 69 78 102 138 221 251 299 391 442 502 598 663 753 782 897 1173 1326 1506 1663 1794 2346 3263 3326 4267 4989 5083 5773 6526 8534 9789 9978 10166 11546 12801 15249 17319 19578 21619 25602 28271 30498 34638 38249 43238 55471 56542 64857 75049 76498 84813 98141 110942 114747 129714 150098 166413 169626 196282 225147 229494 294423 332826 367523 417413 450294 497237 588846 650233 735046 834826 994474 1102569 1252239 1275833 1300466 1491711 1950699 2205138 2504478 2551666 2983422 3827499 3901398 5426369 7096021 7654998 8453029 9600499 10852738 14192042 16279107 16906058 19200998 21288063 25359087 28801497 32558214 42576126 50718174 57602994 92248273 124806487 163208483 184496546 249612974 276744819 326416966 374419461 489625449 553489638 748838922 979250898 2121710279 4243420558 6365130837 12730261674