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12530261326734 = 23397101148315971
BaseRepresentation
bin1011011001010110110111…
…0001100111101110001110
31122100212210110022111022000
42312111231301213232032
53120243433344423414
642352153402333130
72432165361636264
oct266255561475616
948325713274260
1012530261326734
113aa1065945a38
1214a45471ba1a6
136cb7a20ac848
14314679c34434
1516ae1a59cb09
hexb656dc67b8e

12530261326734 has 128 divisors (see below), whose sum is σ = 28431560424960. Its totient is φ = 4089750912000.

The previous prime is 12530261326703. The next prime is 12530261326753. The reversal of 12530261326734 is 43762316203521.

It is a happy number.

12530261326734 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 0 + 2 + 613 + 26 + 7 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12530261326734.

It is a congruent number.

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, 784555369 + ... + 784571339.

It is an arithmetic number, because the mean of its divisors is an integer number (222121565820).

Almost surely, 212530261326734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12530261326734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14215780212480).

12530261326734 is an abundant number, since it is smaller than the sum of its proper divisors (15901299098226).

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

12530261326734 is a wasteful number, since it uses less digits than its factorization.

12530261326734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17663 (or 17657 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 12530261326734 in words is "twelve trillion, five hundred thirty billion, two hundred sixty-one million, three hundred twenty-six thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 97 101 194 202 291 303 582 606 873 909 1483 1746 1818 2619 2727 2966 4449 5238 5454 8898 9797 13347 15971 19594 26694 29391 31942 40041 47913 58782 80082 88173 95826 143739 143851 149783 176346 264519 287478 287702 299566 431217 431553 449349 529038 862434 863106 898698 1294659 1348047 1549187 1613071 2589318 2696094 3098374 3226142 3883977 4044141 4647561 4839213 7767954 8088282 9295122 9678426 13942683 14517639 14528951 23684993 27885366 29035278 29057902 41828049 43552917 43586853 47369986 71054979 83656098 87105834 87173706 130760559 142109958 156467887 213164937 261521118 312935774 392281677 426329874 469403661 639494811 784563354 938807322 1278989622 1408210983 2297444321 2392184293 2816421966 4224632949 4594888642 4784368586 6892332963 7176552879 8449265898 13784665926 14353105758 20676998889 21529658637 41353997778 43059317274 62030996667 64588975911 124061993334 129177951822 232041876421 464083752842 696125629263 1392251258526 2088376887789 4176753775578 6265130663367 12530261326734