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11382132267 = 32111931195197
BaseRepresentation
bin10101001100110110…
…11000111000101011
31002101020111020011100
422212123120320223
5141302311213032
65121234332443
7552026346042
oct124633307053
932336436140
1011382132267
114910a0a490
122257a2a123
1310c515120c
1479d943559
154693c397c
hex2a66d8e2b

11382132267 has 48 divisors (see below), whose sum is σ = 19488568320. Its totient is φ = 6324350400.

The previous prime is 11382132253. The next prime is 11382132271. The reversal of 11382132267 is 76223128311.

11382132267 is a `hidden beast` number, since 1 + 1 + 382 + 13 + 2 + 267 = 666.

It is not a de Polignac number, because 11382132267 - 28 = 11382132011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11382132227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39288 + ... + 155909.

It is an arithmetic number, because the mean of its divisors is an integer number (406011840).

Almost surely, 211382132267 is an apocalyptic number.

11382132267 is a deficient number, since it is larger than the sum of its proper divisors (8106436053).

11382132267 is a wasteful number, since it uses less digits than its factorization.

11382132267 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195264 (or 195261 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The spelling of 11382132267 in words is "eleven billion, three hundred eighty-two million, one hundred thirty-two thousand, two hundred sixty-seven".

Divisors: 1 3 9 11 19 31 33 57 93 99 171 209 279 341 589 627 1023 1767 1881 3069 5301 6479 19437 58311 195197 585591 1756773 2147167 3708743 6051107 6441501 11126229 18153321 19324503 33378687 40796173 54459963 66562177 114971033 122388519 199686531 344913099 367165557 599059593 1034739297 1264681363 3794044089 11382132267