Search a number
-
+
564450012352 = 26411511424573
BaseRepresentation
bin10000011011010111101…
…01111010110011000000
31222221221111021120100001
420031223311322303000
533221443200343402
61111145454405344
755531411641112
oct10155365726300
91887844246301
10564450012352
111a8422353716
1291489200854
13412c57cbb65
141d468acd3b2
15ea38d9d187
hex836bd7acc0

564450012352 has 56 divisors (see below), whose sum is σ = 1154999012832. Its totient is φ = 273517824000.

The previous prime is 564450012233. The next prime is 564450012361. The reversal of 564450012352 is 253210054465.

564450012352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316063 + ... + 1108510.

It is an arithmetic number, because the mean of its divisors is an integer number (20624982372).

Almost surely, 2564450012352 is an apocalyptic number.

It is an amenable number.

564450012352 is an abundant number, since it is smaller than the sum of its proper divisors (590549000480).

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

564450012352 is a wasteful number, since it uses less digits than its factorization.

564450012352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424777 (or 1424767 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 564450012352 in words is "five hundred sixty-four billion, four hundred fifty million, twelve thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 64 82 151 164 302 328 604 656 1208 1312 2416 2624 4832 6191 9664 12382 24764 49528 99056 198112 396224 1424573 2849146 5698292 11396584 22793168 45586336 58407493 91172672 116814986 215110523 233629972 430221046 467259944 860442092 934519888 1720884184 1869039776 3441768368 3738079552 6883536736 8819531443 13767073472 17639062886 35278125772 70556251544 141112503088 282225006176 564450012352