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13249837718992 = 2472831071902973
BaseRepresentation
bin1100000011001111011111…
…0111101101110111010000
31201220200010222020122201001
43000303313313231313100
53214041131424001432
644102520313551344
72535161221231600
oct300636767556720
951820128218631
1013249837718992
114249251a73906
12159baa7a15554
137515ba238534
1433b41d072c00
1517e9d30e79e7
hexc0cf7deddd0

13249837718992 has 120 divisors (see below), whose sum is σ = 30505099486176. Its totient is φ = 5557652561664.

The previous prime is 13249837718981. The next prime is 13249837719007. The reversal of 13249837718992 is 29981773894231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6011218 + ... + 7914190.

Almost surely, 213249837718992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13249837718992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15252549743088).

13249837718992 is an abundant number, since it is smaller than the sum of its proper divisors (17255261767184).

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

13249837718992 is a wasteful number, since it uses less digits than its factorization.

13249837718992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903185 (or 1903172 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 73.

The spelling of 13249837718992 in words is "thirteen trillion, two hundred forty-nine billion, eight hundred thirty-seven million, seven hundred eighteen thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 83 98 107 112 166 196 214 332 392 428 581 664 749 784 856 1162 1328 1498 1712 2324 2996 4067 4648 5243 5992 8134 8881 9296 10486 11984 16268 17762 20972 32536 35524 41944 62167 65072 71048 83888 124334 142096 248668 435169 497336 870338 994672 1740676 1902973 3481352 3805946 6962704 7611892 13320811 15223784 26641622 30447568 53283244 93245677 106566488 157946759 186491354 203618111 213132976 315893518 372982708 407236222 631787036 745965416 814472444 1105627313 1263574072 1425326777 1491930832 1628944888 2211254626 2527148144 2850653554 3257889776 4422509252 5701307108 7739391191 8845018504 9977287439 11402614216 15478782382 16900303213 17690037008 19954574878 22805228432 30957564764 33800606426 39909149756 61915129528 67601212852 79818299512 118302122491 123830259056 135202425704 159636599024 236604244982 270404851408 473208489964 828114857437 946416979928 1656229714874 1892833959856 3312459429748 6624918859496 13249837718992