Search a number
-
+
14680663816 = 23721313121991
BaseRepresentation
bin11011010110000100…
…10010011100001000
31101220010020222210111
431223002102130020
5220031222220231
610424425324104
71026541404100
oct155302223410
941803228714
1014680663816
116253941015
122a18636634
1314cc63b030
149d3a5a200
155adc864b1
hex36b092708

14680663816 has 96 divisors (see below), whose sum is σ = 34748239680. Its totient is φ = 5763139200.

The previous prime is 14680663799. The next prime is 14680663819. The reversal of 14680663816 is 61836608641.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 14680663816.

It is not an unprimeable number, because it can be changed into a prime (14680663819) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 656581 + ... + 678571.

It is an arithmetic number, because the mean of its divisors is an integer number (361960830).

Almost surely, 214680663816 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 14680663816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17374119840).

14680663816 is an abundant number, since it is smaller than the sum of its proper divisors (20067575864).

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

14680663816 is a wasteful number, since it uses less digits than its factorization.

14680663816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22155 (or 22144 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 14680663816 in words is "fourteen billion, six hundred eighty million, six hundred sixty-three thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 131 182 196 262 364 392 524 637 728 917 1048 1274 1703 1834 2548 3406 3668 5096 6419 6812 7336 11921 12838 13624 21991 23842 25676 43982 47684 51352 83447 87964 95368 153937 166894 175928 285883 307874 333788 571766 615748 667576 1077559 1143532 1231496 2001181 2155118 2287064 2880821 4002362 4310236 5761642 8004724 8620472 11523284 14008267 16009448 20165747 23046568 28016534 37450673 40331494 56033068 74901346 80662988 112066136 141160229 149802692 161325976 262154711 282320458 299605384 524309422 564640916 1048618844 1129281832 1835082977 2097237688 3670165954 7340331908 14680663816