Search a number
-
+
13581243424 = 2571713672609
BaseRepresentation
bin11001010011000000…
…10101010000100000
31022001111111122112201
430221200111100200
5210303244242144
610123353102544
7660361443610
oct145140252040
938044448481
1013581243424
11583a292221
1227703b7a54
131385931118
1492ba2ca40
155474b71d4
hex329815420

13581243424 has 96 divisors (see below), whose sum is σ = 32391394560. Its totient is φ = 5472043008.

The previous prime is 13581243413. The next prime is 13581243439. The reversal of 13581243424 is 42434218531.

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 15 ways as a sum of consecutive naturals, for example, 5204232 + ... + 5206840.

It is an arithmetic number, because the mean of its divisors is an integer number (337410360).

Almost surely, 213581243424 is an apocalyptic number.

13581243424 is a gapful number since it is divisible by the number (14) 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 13581243424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16195697280).

13581243424 is an abundant number, since it is smaller than the sum of its proper divisors (18810151136).

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

13581243424 is a wasteful number, since it uses less digits than its factorization.

13581243424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010 (or 4002 counting only the distinct ones).

The product of its digits is 92160, while the sum is 37.

The spelling of 13581243424 in words is "thirteen billion, five hundred eighty-one million, two hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1367 1904 2609 2734 3808 5218 5468 9569 10436 10936 18263 19138 20872 21872 23239 36526 38276 41744 43744 44353 46478 73052 76552 83488 88706 92956 146104 153104 162673 177412 185912 292208 306208 310471 325346 354824 371824 584416 620942 650692 709648 743648 1241884 1301384 1419296 2483768 2602768 3566503 4967536 5205536 7133006 9935072 14266012 24965521 28532024 49931042 57064048 60630551 99862084 114128096 121261102 199724168 242522204 399448336 424413857 485044408 798896672 848827714 970088816 1697655428 1940177632 3395310856 6790621712 13581243424