Search a number
-
+
11283136929 = 3217315474349
BaseRepresentation
bin10101000001000011…
…10000000110100001
31002010100012202002100
422200201300012201
5141101440340204
65103340441013
7546415036641
oct124041600641
932110182070
1011283136929
114870044859
12222a849169
1310aa79caac
14790734521
1546086ba39
hex2a08701a1

11283136929 has 48 divisors (see below), whose sum is σ = 17849894400. Its totient is φ = 6837143040.

The previous prime is 11283136889. The next prime is 11283136951. The reversal of 11283136929 is 92963138211.

It is a happy number.

11283136929 is a `hidden beast` number, since 1 + 1 + 283 + 1 + 369 + 2 + 9 = 666.

It is not a de Polignac number, because 11283136929 - 27 = 11283136801 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11283636929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2592247 + ... + 2596595.

It is an arithmetic number, because the mean of its divisors is an integer number (371872800).

Almost surely, 211283136929 is an apocalyptic number.

It is an amenable number.

11283136929 is a deficient number, since it is larger than the sum of its proper divisors (6566757471).

11283136929 is a wasteful number, since it uses less digits than its factorization.

11283136929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4950 (or 4947 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The spelling of 11283136929 in words is "eleven billion, two hundred eighty-three million, one hundred thirty-six thousand, nine hundred twenty-nine".

Divisors: 1 3 9 17 31 51 93 153 279 527 547 1581 1641 4349 4743 4923 9299 13047 16957 27897 39141 50871 73933 83691 134819 152613 221799 288269 404457 665397 864807 1213371 2291923 2378903 2594421 6875769 7136709 20627307 21410127 40441351 73745993 121324053 221237979 363972159 663713937 1253681881 3761045643 11283136929