Search a number
-
+
13026173760 = 26345502553
BaseRepresentation
bin11000010000110101…
…11010001101000000
31020121211001012010000
430020122322031000
5203134200030020
65552324040000
7640541435655
oct141032721500
936554035100
1013026173760
115584a32166
122636533000
1312c7937232
148b801dc2c
155138c2090
hex3086ba340

13026173760 has 140 divisors (see below), whose sum is σ = 46336483908. Its totient is φ = 3473639424.

The previous prime is 13026173753. The next prime is 13026173777. The reversal of 13026173760 is 6737162031.

13026173760 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 617 + 37 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9616548096 + 3409625664 = 98064^2 + 58392^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 225357 + ... + 277196.

Almost surely, 213026173760 is an apocalyptic number.

13026173760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13026173760 is an abundant number, since it is smaller than the sum of its proper divisors (33310310148).

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

13026173760 is an equidigital number, since it uses as much as digits as its factorization.

13026173760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502582 (or 502563 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 13026173760 in words is "thirteen billion, twenty-six million, one hundred seventy-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 502553 1005106 1507659 2010212 2512765 3015318 4020424 4522977 5025530 6030636 7538295 8040848 9045954 10051060 12061272 13568931 15076590 16081696 18091908 20102120 22614885 24122544 27137862 30153180 32163392 36183816 40204240 40706793 45229770 48245088 54275724 60306360 67844655 72367632 80408480 81413586 90459540 96490176 108551448 120612720 135689310 144735264 160816960 162827172 180919080 203533965 217102896 241225440 271378620 289470528 325654344 361838160 407067930 434205792 482450880 542757240 651308688 723676320 814135860 868411584 1085514480 1302617376 1447352640 1628271720 2171028960 2605234752 3256543440 4342057920 6513086880 13026173760