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5664744632772 = 22321750918184909
BaseRepresentation
bin101001001101110110100…
…0101110111000111000100
3202001112200210102022020100
41102123231011313013010
51220302344111222042
620014203041004100
71123156436624361
oct122335505670704
922045623368210
105664744632772
11189444a735a25
12775a47623630
1332124c438b64
141582646a9468
159c54660424c
hex526ed1771c4

5664744632772 has 72 divisors (see below), whose sum is σ = 15191310115800. Its totient is φ = 1773683186688.

The previous prime is 5664744632719. The next prime is 5664744632773. The reversal of 5664744632772 is 2772364474665.

5664744632772 is a `hidden beast` number, since 5 + 66 + 47 + 4 + 463 + 2 + 7 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2634304286916 + 3030440345856 = 1623054^2 + 1740816^2 .

It is a super-3 number, since 3×56647446327723 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (5664744632773) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8780947 + ... + 9403962.

It is an arithmetic number, because the mean of its divisors is an integer number (210990418275).

Almost surely, 25664744632772 is an apocalyptic number.

It is an amenable number.

5664744632772 is an abundant number, since it is smaller than the sum of its proper divisors (9526565483028).

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

5664744632772 is a wasteful number, since it uses less digits than its factorization.

5664744632772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18185445 (or 18185440 counting only the distinct ones).

The product of its digits is 284497920, while the sum is 63.

The spelling of 5664744632772 in words is "five trillion, six hundred sixty-four billion, seven hundred forty-four million, six hundred thirty-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 509 612 1018 1527 2036 3054 4581 6108 8653 9162 17306 18324 25959 34612 51918 77877 103836 155754 311508 18184909 36369818 54554727 72739636 109109454 163664181 218218908 309143453 327328362 618286906 654656724 927430359 1236573812 1854860718 2782291077 3709721436 5564582154 9256118681 11129164308 18512237362 27768356043 37024474724 55536712086 83305068129 111073424172 157354017577 166610136258 314708035154 333220272516 472062052731 629416070308 944124105462 1416186158193 1888248210924 2832372316386 5664744632772