Search a number
-
+
564216463254312 = 233311237464841437
BaseRepresentation
bin1000000001001001101110000…
…1110111100110001100101000
32201222201120022102110112002000
42000102123201313212030220
51042423110304043114222
65315553244233011000
7226562202635415441
oct20022334167461450
92658646272415060
10564216463254312
1115385a949461340
1253344b1bb53a60
131b2a94cc0a086b
149d483188942c8
154536871dd19ac
hex20126e1de6328

564216463254312 has 64 divisors (see below), whose sum is σ = 1709746858353600. Its totient is φ = 170974685833920.

The previous prime is 564216463254277. The next prime is 564216463254319. The reversal of 564216463254312 is 213452364612465.

564216463254312 is a `hidden beast` number, since 5 + 6 + 4 + 2 + 1 + 64 + 6 + 32 + 543 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (564216463254319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118732418343 + ... + 118732423094.

It is an arithmetic number, because the mean of its divisors is an integer number (26714794661775).

Almost surely, 2564216463254312 is an apocalyptic number.

It is an amenable number.

564216463254312 is an abundant number, since it is smaller than the sum of its proper divisors (1145530395099288).

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

564216463254312 is a wasteful number, since it uses less digits than its factorization.

564216463254312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237464841463 (or 237464841453 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

The spelling of 564216463254312 in words is "five hundred sixty-four trillion, two hundred sixteen billion, four hundred sixty-three million, two hundred fifty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 237464841437 474929682874 712394524311 949859365748 1424789048622 1899718731496 2137183572933 2612113255807 2849578097244 4274367145866 5224226511614 5699156194488 6411550718799 7836339767421 8548734291732 10448453023228 12823101437598 15672679534842 17097468583464 20896906046456 23509019302263 25646202875196 31345359069684 47018038604526 51292405750392 62690718139368 70527057906789 94036077209052 141054115813578 188072154418104 282108231627156 564216463254312