Search a number
-
+
1329686631 = 337135310211
BaseRepresentation
bin100111101000001…
…0110100001100111
310102200001002011000
41033100112201213
510210344433011
6335535444343
744644102260
oct11720264147
93380032130
101329686631
11622634279
123113866b3
13182630430
14c884b967
157bb06356
hex4f416867

1329686631 has 64 divisors (see below), whose sum is σ = 2470487040. Its totient is φ = 688072320.

The previous prime is 1329686609. The next prime is 1329686647. The reversal of 1329686631 is 1366869231.

1329686631 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 6 + 8 + 6 + 631 = 666.

It is not a de Polignac number, because 1329686631 - 211 = 1329684583 is a prime.

It is a super-2 number, since 2×13296866312 = 3536133073320260322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329682631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125116 + ... + 135326.

It is an arithmetic number, because the mean of its divisors is an integer number (38601360).

Almost surely, 21329686631 is an apocalyptic number.

1329686631 is a deficient number, since it is larger than the sum of its proper divisors (1140800409).

1329686631 is a wasteful number, since it uses less digits than its factorization.

1329686631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10293 (or 10287 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 1329686631 is about 36464.8684489606. The cubic root of 1329686631 is about 1099.6380712872.

The spelling of 1329686631 in words is "one billion, three hundred twenty-nine million, six hundred eighty-six thousand, six hundred thirty-one".

Divisors: 1 3 7 9 13 21 27 39 53 63 91 117 159 189 273 351 371 477 689 819 1113 1431 2067 2457 3339 4823 6201 10017 10211 14469 18603 30633 43407 71477 91899 130221 132743 214431 275697 398229 541183 643293 929201 1194687 1623549 1929879 2787603 3584061 3788281 4870647 7035379 8362809 11364843 14611941 21106137 25088427 34094529 49247653 63318411 102283587 147742959 189955233 443228877 1329686631