Search a number
-
+
1332892983331 = 721310139235281
BaseRepresentation
bin10011011001010110100…
…111001110000000100011
311201102102121022010200001
4103121112213032000203
5133314231100431311
62500153402240431
7165204221265100
oct23312647160043
94642377263601
101332892983331
11474305382438
121963a71b6117
13988ca9445a0
1448725cddaa7
1524a11a044c1
hex136569ce023

1332892983331 has 48 divisors (see below), whose sum is σ = 1687059728928. Its totient is φ = 1043691264000.

The previous prime is 1332892983329. The next prime is 1332892983341. The reversal of 1332892983331 is 1333892982331.

It is not a de Polignac number, because 1332892983331 - 21 = 1332892983329 is a prime.

It is a super-2 number, since 2×13328929833312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1332892983311) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 252391411 + ... + 252396691.

It is an arithmetic number, because the mean of its divisors is an integer number (35147077686).

Almost surely, 21332892983331 is an apocalyptic number.

1332892983331 is a deficient number, since it is larger than the sum of its proper divisors (354166745597).

1332892983331 is a wasteful number, since it uses less digits than its factorization.

1332892983331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9332 (or 9325 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 55.

The spelling of 1332892983331 in words is "one trillion, three hundred thirty-two billion, eight hundred ninety-two million, nine hundred eighty-three thousand, three hundred thirty-one".

Divisors: 1 7 13 49 91 101 637 707 1313 3923 4949 5281 9191 27461 36967 50999 64337 68653 192227 258769 356993 396223 480571 533381 2498951 2773561 3363997 3733667 5150899 6933953 19414927 20717363 26135669 36056293 48537671 145021541 252394051 269325719 339763697 1015150787 1885280033 2092453663 13196960231 14647175641 27201897619 102530229487 190413283333 1332892983331