Search a number
-
+
47216202813641 = 731474143877437
BaseRepresentation
bin10101011110001011000001…
…11111110001000011001001
320012011211021100121220000002
422233011200333301003021
522142042240410014031
6244230454002252345
712642154343644541
oct1257054077610311
9205154240556002
1047216202813641
1114054308623294
1253669969570b5
132046612cc9344
14b933c267a321
1556d306098ccb
hex2af160ff10c9

47216202813641 has 8 divisors (see below), whose sum is σ = 47866248133704. Its totient is φ = 46566245278080.

The previous prime is 47216202813631. The next prime is 47216202813673. The reversal of 47216202813641 is 14631820261274.

47216202813641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 32519874864400 + 14696327949241 = 5702620^2 + 3833579^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47216202813641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47216202813631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20862626 + ... + 23014811.

It is an arithmetic number, because the mean of its divisors is an integer number (5983281016713).

Almost surely, 247216202813641 is an apocalyptic number.

It is an amenable number.

47216202813641 is a deficient number, since it is larger than the sum of its proper divisors (650045320063).

47216202813641 is a wasteful number, since it uses less digits than its factorization.

47216202813641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43892251.

The product of its (nonzero) digits is 774144, while the sum is 47.

The spelling of 47216202813641 in words is "forty-seven trillion, two hundred sixteen billion, two hundred two million, eight hundred thirteen thousand, six hundred forty-one".

Divisors: 1 73 14741 1076093 43877437 3203052901 646797298817 47216202813641