Search a number
-
+
712346643217 = 11671976348907
BaseRepresentation
bin10100101110110110010…
…10110010101100010001
32112002200122212212012001
422113123022302230101
543132341220040332
61303125244434001
7102315420363616
oct12273312625421
92462618785161
10712346643217
11255117122470
12b6083548901
1352235380aa1
1426698d9850d
15137e2e9c0e7
hexa5db2b2b11

712346643217 has 16 divisors (see below), whose sum is σ = 788760052992. Its totient is φ = 637877045520.

The previous prime is 712346643187. The next prime is 712346643233.

It is a happy number.

712346643217 is nontrivially palindromic in base 10.

712346643217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 712346643217 - 219 = 712346118929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (712346643277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14540878 + ... + 14589784.

It is an arithmetic number, because the mean of its divisors is an integer number (49297503312).

Almost surely, 2712346643217 is an apocalyptic number.

It is an amenable number.

712346643217 is a deficient number, since it is larger than the sum of its proper divisors (76413409775).

712346643217 is a wasteful number, since it uses less digits than its factorization.

712346643217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68748.

The product of its digits is 1016064, while the sum is 46.

The spelling of 712346643217 in words is "seven hundred twelve billion, three hundred forty-six million, six hundred forty-three thousand, two hundred seventeen".

Divisors: 1 11 67 737 19763 48907 217393 537977 1324121 3276769 14565331 36044459 966549041 10632039451 64758785747 712346643217