Search a number
-
+
5314566816 = 253413157721
BaseRepresentation
bin1001111001100010…
…11101101010100000
3111201101021222010000
410330301131222200
541341012114231
62235205340000
7245462033616
oct47461355240
914641258100
105314566816
112287a30789
121043a07600
13669089ac0
14385b876b6
152118916e6
hex13cc5daa0

5314566816 has 120 divisors (see below), whose sum is σ = 16832407284. Its totient is φ = 1635240960.

The previous prime is 5314566799. The next prime is 5314566863. The reversal of 5314566816 is 6186654135.

5314566816 is a `hidden beast` number, since 5 + 3 + 1 + 4 + 566 + 81 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5314410000 + 156816 = 72900^2 + 396^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45165 + ... + 112556.

Almost surely, 25314566816 is an apocalyptic number.

It is an amenable number.

5314566816 is an abundant number, since it is smaller than the sum of its proper divisors (11517840468).

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

5314566816 is a wasteful number, since it uses less digits than its factorization.

5314566816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157756 (or 157739 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 5314566816 is about 72901.0755476214. The cubic root of 5314566816 is about 1745.1092633066.

The spelling of 5314566816 in words is "five billion, three hundred fourteen million, five hundred sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 33696 157721 315442 473163 630884 946326 1261768 1419489 1892652 2050373 2523536 2838978 3785304 4100746 4258467 5047072 5677956 6151119 7570608 8201492 8516934 11355912 12302238 12775401 15141216 16402984 17033868 18453357 22711824 24604476 25550802 32805968 34067736 36906714 45423648 49208952 51101604 55360071 65611936 68135472 73813428 98417904 102203208 110720142 136270944 147626856 166080213 196835808 204406416 221440284 295253712 332160426 408812832 442880568 590507424 664320852 885761136 1328641704 1771522272 2657283408 5314566816