Search a number
-
+
564883816466664 = 2332192111956998893
BaseRepresentation
bin1000000001110000100100001…
…1001110000100100011101000
32202002002100212102021021100200
42000130021003032010203220
51043020024024003413124
65321224013124232200
7226661336366214162
oct20034110316044350
92662070772237320
10564883816466664
11153a979769a51a2
125343232723b660
131b327413a00576
149d6c74600d932
154548dcecdbbc9
hex201c2433848e8

564883816466664 has 96 divisors (see below), whose sum is σ = 1618046685559200. Its totient is φ = 177538939482240.

The previous prime is 564883816466653. The next prime is 564883816466677. The reversal of 564883816466664 is 466664618388465.

It is a super-2 number, since 2×5648838164666642 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 978210799 + ... + 978788094.

It is an arithmetic number, because the mean of its divisors is an integer number (16854652974575).

Almost surely, 2564883816466664 is an apocalyptic number.

It is an amenable number.

564883816466664 is an abundant number, since it is smaller than the sum of its proper divisors (1053162869092536).

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

564883816466664 is a wasteful number, since it uses less digits than its factorization.

564883816466664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956999135 (or 1956999128 counting only the distinct ones).

The product of its digits is 22932357120, while the sum is 81.

The spelling of 564883816466664 in words is "five hundred sixty-four trillion, eight hundred eighty-three billion, eight hundred sixteen million, four hundred sixty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 211 228 342 422 456 633 684 844 1266 1368 1688 1899 2532 3798 4009 5064 7596 8018 12027 15192 16036 24054 32072 36081 48108 72162 96216 144324 288648 1956998893 3913997786 5870996679 7827995572 11741993358 15655991144 17612990037 23483986716 35225980074 37182978967 46967973432 70451960148 74365957934 111548936901 140903920296 148731915868 223097873802 297463831736 334646810703 412926766423 446195747604 669293621406 825853532846 892391495208 1238780299269 1338587242812 1651707065692 2477560598538 2677174485624 3303414131384 3716340897807 4955121197076 7432681795614 7845608562037 9910242394152 14865363591228 15691217124074 23536825686111 29730727182456 31382434248148 47073651372222 62764868496296 70610477058333 94147302744444 141220954116666 188294605488888 282441908233332 564883816466664