Search a number
-
+
1331132664 = 233157541653
BaseRepresentation
bin100111101010111…
…0111100011111000
310102202202112201210
41033111313203320
510211232221124
6340030443120
744662304151
oct11725674370
93382675653
101331132664
11623431744
123119634a0
13182a18684
14c8b06928
157bcdea29
hex4f5778f8

1331132664 has 64 divisors (see below), whose sum is σ = 3360356640. Its totient is φ = 439395840.

The previous prime is 1331132633. The next prime is 1331132681. The reversal of 1331132664 is 4662311331.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2038162 + ... + 2038814.

Almost surely, 21331132664 is an apocalyptic number.

It is an amenable number.

1331132664 is an abundant number, since it is smaller than the sum of its proper divisors (2029223976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1331132664 is a wasteful number, since it uses less digits than its factorization.

1331132664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1356 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 1331132664 is about 36484.6908168344. The cubic root of 1331132664 is about 1100.0365453423.

Adding to 1331132664 its reverse (4662311331), we get a palindrome (5993443995).

The spelling of 1331132664 in words is "one billion, three hundred thirty-one million, one hundred thirty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 157 314 471 541 628 653 942 1082 1256 1306 1623 1884 1959 2164 2612 3246 3768 3918 4328 5224 6492 7836 12984 15672 84937 102521 169874 205042 254811 307563 339748 353273 410084 509622 615126 679496 706546 820168 1019244 1059819 1230252 1413092 2038488 2119638 2460504 2826184 4239276 8478552 55463861 110927722 166391583 221855444 332783166 443710888 665566332 1331132664