Search a number
-
+
4685086224036 = 223271250812
BaseRepresentation
bin100010000101101010011…
…1001100110111010100100
3121120220000201021210010100
41010023110321212322210
51103230024033132121
613544144321224100
7662325542555211
oct104132471467244
917526021253110
104685086224036
111546a30040689
12638001a92030
1327ca5654896a
14122a8ba66b08
1581d0aad1026
hex442d4e66ea4

4685086224036 has 81 divisors (see below), whose sum is σ = 12014371519969. Its totient is φ = 1539396667200.

The previous prime is 4685086224031. The next prime is 4685086224059. The reversal of 4685086224036 is 6304226805864.

It is a happy number.

The square root of 4685086224036 is 2164506.

It is a perfect power (a square), and thus also a powerful number.

4685086224036 is a `hidden beast` number, since 4 + 6 + 8 + 5 + 0 + 8 + 622 + 4 + 0 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 642091305636 + 4042994918400 = 801306^2 + 2010720^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4685086224031) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 922077016 + ... + 922082096.

Almost surely, 24685086224036 is an apocalyptic number.

4685086224036 is the 2164506-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4685086224036

4685086224036 is an abundant number, since it is smaller than the sum of its proper divisors (7329285295933).

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

4685086224036 is an frugal number, since it uses more digits than its factorization.

4685086224036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10314 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 4685086224036 in words is "four trillion, six hundred eighty-five billion, eighty-six million, two hundred twenty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 5041 5081 10082 10162 15123 15243 20164 20324 30246 30486 45369 45729 60492 60972 90738 91458 181476 182916 360751 721502 1082253 1443004 2164506 3246759 4329012 6493518 12987036 25613321 25816561 51226642 51633122 76839963 77449683 102453284 103266244 153679926 154899366 230519889 232349049 307359852 309798732 461039778 464698098 922079556 929396196 1832975831 3665951662 5498927493 7331903324 10997854986 16496782479 21995709972 32993564958 65987129916 130141284001 260282568002 390423852003 520565136004 780847704006 1171271556009 1561695408012 2342543112018 4685086224036