Search a number
-
+
461457613232631 = 3256998391669217
BaseRepresentation
bin110100011101100010111100…
…1000111011001100111110111
32020111212220202111002220000200
41220323011321013121213313
5440441010142441421011
64313234411223411543
7166125132560054301
oct15073057107314767
92214786674086020
10461457613232631
11124042090549434
12439096b0bb3bb3
1316a6435cb286b2
1481d494c066971
153853888c83856
hex1a3b1791d99f7

461457613232631 has 24 divisors (see below), whose sum is σ = 668400602893920. Its totient is φ = 306785331741696.

The previous prime is 461457613232617. The next prime is 461457613232669. The reversal of 461457613232631 is 136232316754164.

461457613232631 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 57 + 6 + 1 + 323 + 263 + 1 = 666.

It is not a de Polignac number, because 461457613232631 - 210 = 461457613231607 is a prime.

It is a super-2 number, since 2×4614576132326312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461457613232611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40800666 + ... + 50868551.

It is an arithmetic number, because the mean of its divisors is an integer number (27850025120580).

Almost surely, 2461457613232631 is an apocalyptic number.

461457613232631 is a deficient number, since it is larger than the sum of its proper divisors (206942989661289).

461457613232631 is a wasteful number, since it uses less digits than its factorization.

461457613232631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91670775 (or 91670772 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

Adding to 461457613232631 its reverse (136232316754164), we get a palindrome (597689929986795).

The spelling of 461457613232631 in words is "four hundred sixty-one trillion, four hundred fifty-seven billion, six hundred thirteen million, two hundred thirty-two thousand, six hundred thirty-one".

Divisors: 1 3 9 569 983 1707 2949 5121 8847 559327 1677981 5033943 91669217 275007651 825022953 52159784473 90110840311 156479353419 270332520933 469438060257 810997562799 51273068136959 153819204410877 461457613232631