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13147243460 = 2251335472
BaseRepresentation
bin11000011111010001…
…10000001111000100
31020221020212011111222
430033220300033010
5203411143242320
610012331015512
7643541503601
oct141750601704
936836764458
1013147243460
11563730466a
12266ab9a598
131316a47000
148ca1376a8
1551e339825
hex30fa303c4

13147243460 has 72 divisors (see below), whose sum is σ = 29963709720. Its totient is φ = 4845492288.

The previous prime is 13147243457. The next prime is 13147243481. The reversal of 13147243460 is 6434274131.

It can be written as a sum of positive squares in 4 ways, for example, as 4902240256 + 8245003204 = 70016^2 + 90802^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13147243460.

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, 24034907 + ... + 24035453.

It is an arithmetic number, because the mean of its divisors is an integer number (416162635).

Almost surely, 213147243460 is an apocalyptic number.

13147243460 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 13147243460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14981854860).

13147243460 is an abundant number, since it is smaller than the sum of its proper divisors (16816466260).

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

13147243460 is an frugal number, since it uses more digits than its factorization.

13147243460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 13147243460 in words is "thirteen billion, one hundred forty-seven million, two hundred forty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 547 676 845 1094 1690 2188 2197 2735 3380 4394 5470 7111 8788 10940 10985 14222 21970 28444 35555 43940 71110 92443 142220 184886 299209 369772 462215 598418 924430 1196836 1201759 1496045 1848860 2403518 2992090 3889717 4807036 5984180 6008795 7779434 12017590 15558868 19448585 24035180 38897170 50566321 77794340 101132642 202265284 252831605 505663210 657362173 1011326420 1314724346 2629448692 3286810865 6573621730 13147243460