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212215663656 = 23324368545111
BaseRepresentation
bin1100010110100100001…
…0100000110000101000
3202021202200012200202200
43011221002200300220
511434104202214111
6241253542100200
721221621243523
oct3055102406050
9667680180680
10212215663656
11820002340a7
123516671a660
1317020063719
14a3b25dbbba
1557c0ae5256
hex31690a0c28

212215663656 has 48 divisors (see below), whose sum is σ = 588117060960. Its totient is φ = 69093470880.

The previous prime is 212215663637. The next prime is 212215663657. The reversal of 212215663656 is 656366512212.

212215663656 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 1 + 5 + 6 + 636 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (212215663657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34269460 + ... + 34275651.

It is an arithmetic number, because the mean of its divisors is an integer number (12252438770).

Almost surely, 2212215663656 is an apocalyptic number.

It is an amenable number.

212215663656 is an abundant number, since it is smaller than the sum of its proper divisors (375901397304).

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

212215663656 is a wasteful number, since it uses less digits than its factorization.

212215663656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68545166 (or 68545159 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

It can be divided in two parts, 2122156 and 63656, that added together give a palindrome (2185812).

The spelling of 212215663656 in words is "two hundred twelve billion, two hundred fifteen million, six hundred sixty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 68545111 137090222 205635333 274180444 411270666 548360888 616905999 822541332 1233811998 1645082664 2467623996 2947439773 4935247992 5894879546 8842319319 11789759092 17684638638 23579518184 26526957957 35369277276 53053915914 70738554552 106107831828 212215663656