Search a number
-
+
46466686784672 = 2571121714384843
BaseRepresentation
bin10101001000010110111100…
…10111000001010010100000
320002112011122021222121002022
422210023132113001102200
522042302233304102142
6242454300132441012
712534051546552530
oct1244133627012240
9202464567877068
1046466686784672
1113895458340200
12526567b479168
131cc0a3615199b
14b68ddd0274c0
15558a89d9a6d2
hex2a42de5c14a0

46466686784672 has 72 divisors (see below), whose sum is σ = 114918644863008. Its totient is φ = 18103903931520.

The previous prime is 46466686784669. The next prime is 46466686784677. The reversal of 46466686784672 is 27648768666464.

It is a super-2 number, since 2×464666867846722 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46466686784677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 857165318 + ... + 857219525.

It is an arithmetic number, because the mean of its divisors is an integer number (1596092289764).

Almost surely, 246466686784672 is an apocalyptic number.

It is an amenable number.

46466686784672 is an abundant number, since it is smaller than the sum of its proper divisors (68451958078336).

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

46466686784672 is a wasteful number, since it uses less digits than its factorization.

46466686784672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714384882 (or 1714384863 counting only the distinct ones).

The product of its digits is 18728091648, while the sum is 80.

The spelling of 46466686784672 in words is "forty-six trillion, four hundred sixty-six billion, six hundred eighty-six million, seven hundred eighty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 847 968 1232 1694 1936 2464 3388 3872 6776 13552 27104 1714384843 3428769686 6857539372 12000693901 13715078744 18858233273 24001387802 27430157488 37716466546 48002775604 54860314976 75432933092 96005551208 132007632911 150865866184 192011102416 207440566003 264015265822 301731732368 384022204832 414881132006 528030531644 603463464736 829762264012 1056061063288 1452083962021 1659524528024 2112122126576 2904167924042 3319049056048 4224244253152 5808335848084 6638098112096 11616671696168 23233343392336 46466686784672