Search a number
-
+
13984029184 = 29171984559
BaseRepresentation
bin11010000011000001…
…10101101000000000
31100002120102021201211
431001200311220000
5212114402413214
610231342135504
71003352200246
oct150140655000
940076367654
1013984029184
115a26690114
122863281594
13141b2096a8
1496931a796
1556ca2b0c4
hex341835a00

13984029184 has 80 divisors (see below), whose sum is σ = 31141756800. Its totient is φ = 6234292224.

The previous prime is 13984029079. The next prime is 13984029197. The reversal of 13984029184 is 48192048931.

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 7 ways as a sum of consecutive naturals, for example, 123097 + ... + 207655.

It is an arithmetic number, because the mean of its divisors is an integer number (389271960).

Almost surely, 213984029184 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 13984029184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15570878400).

13984029184 is an abundant number, since it is smaller than the sum of its proper divisors (17157727616).

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

13984029184 is an equidigital number, since it uses as much as digits as its factorization.

13984029184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84613 (or 84597 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The spelling of 13984029184 in words is "thirteen billion, nine hundred eighty-four million, twenty-nine thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 256 272 304 323 512 544 608 646 1088 1216 1292 2176 2432 2584 4352 4864 5168 8704 9728 10336 20672 41344 82688 84559 165376 169118 338236 676472 1352944 1437503 1606621 2705888 2875006 3213242 5411776 5750012 6426484 10823552 11500024 12852968 21647104 23000048 25705936 27312557 43294208 46000096 51411872 54625114 92000192 102823744 109250228 184000384 205647488 218500456 368000768 411294976 437000912 736001536 822589952 874001824 1748003648 3496007296 6992014592 13984029184