Search a number
-
+
16280482568464 = 24557218112
BaseRepresentation
bin1110110011101001100001…
…1000010101100100010000
32010122101202211012120201001
43230322120120111210100
54113214412014142324
654343052254551344
73300140351350312
oct354723030254420
963571684176631
1016280482568464
115207571a84564
1219ab324808554
1391132090005a
14403d9dcb37b2
151d375cd91e44
hexece98615910

16280482568464 has 45 divisors (see below), whose sum is σ = 31617626241061. Its totient is φ = 8121140029760.

The previous prime is 16280482568437. The next prime is 16280482568479. The reversal of 16280482568464 is 46486528408261.

The square root of 16280482568464 is 4034908.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1428646467600 + 14851836100864 = 1195260^2 + 3853808^2 .

It is a super-2 number, since 2×162804825684642 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16280482568396 and 16280482568405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8989774119 + ... + 8989775929.

Almost surely, 216280482568464 is an apocalyptic number.

16280482568464 is the 4034908-th square number.

It is an amenable number.

16280482568464 is a deficient number, since it is larger than the sum of its proper divisors (15337143672597).

16280482568464 is an frugal number, since it uses more digits than its factorization.

16280482568464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 64.

The spelling of 16280482568464 in words is "sixteen trillion, two hundred eighty billion, four hundred eighty-two million, five hundred sixty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 557 1114 1811 2228 3622 4456 7244 8912 14488 28976 310249 620498 1008727 1240996 2017454 2481992 3279721 4034908 4963984 6559442 8069816 13118884 16139632 26237768 52475536 561860939 1123721878 1826804597 2247443756 3653609194 4494887512 7307218388 8989775024 14614436776 29228873552 1017530160529 2035060321058 4070120642116 8140241284232 16280482568464