Search a number
-
+
3964643253961 = 131936974341679
BaseRepresentation
bin111001101100010111001…
…001110001111011001001
3112001000102210201220102121
4321230113021301323021
51004424042133111321
612233155412131241
7556302361424635
oct71542711617311
915030383656377
103964643253961
111299439838aa5
1254045b006b21
13229b309c9130
14d9c656cbdc5
156d1e1e5c441
hex39b17271ec9

3964643253961 has 16 divisors (see below), whose sum is σ = 4495549139200. Its totient is φ = 3466117847808.

The previous prime is 3964643253917. The next prime is 3964643253971. The reversal of 3964643253961 is 1693523464693.

It is a cyclic number.

It is not a de Polignac number, because 3964643253961 - 211 = 3964643251913 is a prime.

It is a super-2 number, since 2×39646432539612 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3964643253961.

It is not an unprimeable number, because it can be changed into a prime (3964643253971) 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 15 ways as a sum of consecutive naturals, for example, 1257681 + ... + 3083998.

It is an arithmetic number, because the mean of its divisors is an integer number (280971821200).

Almost surely, 23964643253961 is an apocalyptic number.

It is an amenable number.

3964643253961 is a deficient number, since it is larger than the sum of its proper divisors (530905885239).

3964643253961 is a wasteful number, since it uses less digits than its factorization.

3964643253961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345408.

The product of its digits is 75582720, while the sum is 61.

The spelling of 3964643253961 in words is "three trillion, nine hundred sixty-four billion, six hundred forty-three million, two hundred fifty-three thousand, nine hundred sixty-one".

Divisors: 1 13 19 247 3697 48061 70243 913159 4341679 56441827 82491901 1072394713 16051187263 208665434419 304972557997 3964643253961