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13288440880 = 24511131318867
BaseRepresentation
bin11000110000000110…
…11000010000110000
31021022002112201222001
430120003120100300
5204203320102010
610034333223344
7650204612101
oct143003302060
937262481861
1013288440880
1156a9a84350
1226aa331b54
13133a083390
14900bb03a8
1552b92ac3a
hex3180d8430

13288440880 has 160 divisors (see below), whose sum is σ = 36578158848. Its totient is φ = 4425907200.

The previous prime is 13288440863. The next prime is 13288440941. The reversal of 13288440880 is 8804488231.

It is a happy number.

It is a super-2 number, since 2×132884408802 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13288440880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1494207 + ... + 1503073.

Almost surely, 213288440880 is an apocalyptic number.

13288440880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13288440880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289079424).

13288440880 is an abundant number, since it is smaller than the sum of its proper divisors (23289717968).

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

13288440880 is a wasteful number, since it uses less digits than its factorization.

13288440880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9035 (or 9029 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 46.

The spelling of 13288440880 in words is "thirteen billion, two hundred eighty-eight million, four hundred forty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 131 143 176 208 220 260 262 286 440 520 524 572 655 715 880 1040 1048 1144 1310 1430 1441 1703 2096 2288 2620 2860 2882 3406 5240 5720 5764 6812 7205 8515 8867 10480 11440 11528 13624 14410 17030 17734 18733 23056 27248 28820 34060 35468 37466 44335 57640 68120 70936 74932 88670 93665 97537 115271 115280 136240 141872 149864 177340 187330 195074 230542 299728 354680 374660 390148 461084 487685 576355 709360 749320 780296 922168 975370 1152710 1161577 1267981 1498640 1560592 1844336 1950740 2305420 2323154 2535962 3901480 4610840 4646308 5071924 5807885 6339905 7802960 9221680 9292616 10143848 11615770 12679810 12777347 15100501 18585232 20287696 23231540 25359620 25554694 30201002 46463080 50719240 51109388 60402004 63886735 75502505 92926160 101438480 102218776 120804008 127773470 151005010 166105511 204437552 241608016 255546940 302010020 332211022 511093880 604020040 664422044 830527555 1022187760 1208040080 1328844088 1661055110 2657688176 3322110220 6644220440 13288440880