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13079361079824 = 2431379379769877
BaseRepresentation
bin1011111001010100011010…
…1010111100101000010000
31201022101010011101002120020
42332111012222330220100
53203243012414023244
643452324151543440
72516644521554064
oct276250652745020
951271104332506
1013079361079824
114192a20395676
121572a4b68ab80
1373b4bc618450
14333089da5aa4
1517a3569ead19
hexbe546abca10

13079361079824 has 160 divisors (see below), whose sum is σ = 36858285918720. Its totient is φ = 3972373456896.

The previous prime is 13079361079801. The next prime is 13079361079901. The reversal of 13079361079824 is 42897016397031.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187141974 + ... + 187211850.

It is an arithmetic number, because the mean of its divisors is an integer number (230364286992).

Almost surely, 213079361079824 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 13079361079824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18429142959360).

13079361079824 is an abundant number, since it is smaller than the sum of its proper divisors (23778924838896).

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

13079361079824 is a wasteful number, since it uses less digits than its factorization.

13079361079824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73777 (or 73771 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 60.

The spelling of 13079361079824 in words is "thirteen trillion, seventy-nine billion, three hundred sixty-one million, seventy-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 79 104 156 158 208 237 312 316 474 624 632 948 1027 1264 1896 2054 3081 3792 3797 4108 6162 7594 8216 11391 12324 15188 16432 22782 24648 30376 45564 49296 49361 60752 69877 91128 98722 139754 148083 182256 197444 209631 279508 296166 299963 394888 419262 559016 592332 599926 789776 838524 899889 908401 1118032 1184664 1199852 1677048 1799778 1816802 2369328 2399704 2725203 3354096 3599556 3633604 3899519 4799408 5450406 5520283 7199112 7267208 7799038 10900812 11040566 11698557 14398224 14534416 15598076 16560849 21801624 22081132 23397114 31196152 33121698 43603248 44162264 46794228 62392304 66243396 71763679 88324528 93588456 132486792 143527358 187176912 215291037 264973584 265322969 287054716 430582074 530645938 574109432 795968907 861164148 1061291876 1148218864 1591937814 1722328296 2122583752 3183875628 3444656592 3449198597 4245167504 6367751256 6898397194 10347595791 12735502512 13796794388 20695191582 20960514551 27593588776 41390383164 41921029102 55187177552 62881543653 82780766328 83842058204 125763087306 165561532656 167684116408 251526174612 272486689163 335368232816 503052349224 544973378326 817460067489 1006104698448 1089946756652 1634920134978 2179893513304 3269840269956 4359787026608 6539680539912 13079361079824