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13724969984 = 210112110771
BaseRepresentation
bin11001100100001001…
…00110110000000000
31022102111221201022122
430302010212300000
5211102043014414
610145525423412
7664055214515
oct146204466000
938374851278
1013724969984
11590342a100
1227b056ab68
1313a964471b
14942b6330c
15554e07b8e
hex332126c00

13724969984 has 66 divisors (see below), whose sum is σ = 30157787772. Its totient is φ = 6238566400.

The previous prime is 13724969981. The next prime is 13724970037. The reversal of 13724969984 is 48996942731.

It is not an unprimeable number, because it can be changed into a prime (13724969981) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 68519 + ... + 179289.

Almost surely, 213724969984 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 13724969984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15078893886).

13724969984 is an abundant number, since it is smaller than the sum of its proper divisors (16432817788).

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

13724969984 is a wasteful number, since it uses less digits than its factorization.

13724969984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110813 (or 110784 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 62.

The spelling of 13724969984 in words is "thirteen billion, seven hundred twenty-four million, nine hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2816 3872 5632 7744 11264 15488 30976 61952 110771 123904 221542 443084 886168 1218481 1772336 2436962 3544672 4873924 7089344 9747848 13403291 14178688 19495696 26806582 28357376 38991392 53613164 56714752 77982784 107226328 113429504 155965568 214452656 311931136 428905312 623862272 857810624 1247724544 1715621248 3431242496 6862484992 13724969984