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12689339791410 = 23351991759134263
BaseRepresentation
bin1011100010100111011110…
…0101110011100000110010
31122221002101220111210111000
42320221313211303200302
53130400231441311120
642553222514102430
72446526445401502
oct270516745634062
948832356453430
1012689339791410
114052578557a57
12150b34227aa16
137107a4452899
1431c24b1c3a02
1517012b1a7990
hexb8a77973832

12689339791410 has 128 divisors (see below), whose sum is σ = 34027868160000. Its totient is φ = 3364880688576.

The previous prime is 12689339791397. The next prime is 12689339791411. The reversal of 12689339791410 is 1419793398621.

12689339791410 is a `hidden beast` number, since 1 + 2 + 68 + 93 + 3 + 9 + 79 + 1 + 410 = 666.

It is a super-2 number, since 2×126893397914102 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12689339791411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94443939 + ... + 94578201.

It is an arithmetic number, because the mean of its divisors is an integer number (265842720000).

Almost surely, 212689339791410 is an apocalyptic number.

12689339791410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12689339791410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17013934080000).

12689339791410 is an abundant number, since it is smaller than the sum of its proper divisors (21338528368590).

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

12689339791410 is a wasteful number, since it uses less digits than its factorization.

12689339791410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136237 (or 136231 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 12689339791410 in words is "twelve trillion, six hundred eighty-nine billion, three hundred thirty-nine million, seven hundred ninety-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 199 270 398 597 995 1194 1759 1791 1990 2985 3518 3582 5277 5373 5970 8795 8955 10554 10746 15831 17590 17910 26385 26865 31662 47493 52770 53730 79155 94986 134263 158310 237465 268526 350041 402789 474930 671315 700082 805578 1050123 1208367 1342630 1750205 2013945 2100246 2416734 3150369 3500410 3625101 4027890 5250615 6041835 6300738 7250202 9451107 10501230 12083670 15751845 18125505 18902214 26718337 31503690 36251010 47255535 53436674 80155011 94511070 133591685 160310022 236168617 240465033 267183370 400775055 472337234 480930066 708505851 721395099 801550110 1180843085 1202325165 1417011702 1442790198 2125517553 2361686170 2404650330 3542529255 3606975495 4251035106 6376552659 7085058510 7213950990 10627587765 12753105318 21255175530 31882763295 46997554783 63765526590 93995109566 140992664349 234987773915 281985328698 422977993047 469975547830 704963321745 845955986094 1268933979141 1409926643490 2114889965235 2537867958282 4229779930470 6344669895705 12689339791410