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11533931982 = 234312339857
BaseRepresentation
bin10101011110111100…
…11101010111001110
31002202211010110020000
422233132131113032
5142110141310412
65144300105130
7555551542566
oct125736352716
932684113200
1011533931982
1149896708a1
12229a8351a6
13111a730331
147b5b79da6
154778ab4dc
hex2af79d5ce

11533931982 has 80 divisors (see below), whose sum is σ = 26795463552. Its totient is φ = 3704279040.

The previous prime is 11533931963. The next prime is 11533931989. The reversal of 11533931982 is 28913933511.

11533931982 is a `hidden beast` number, since 1 + 1 + 533 + 9 + 31 + 9 + 82 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11533931989) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1165198 + ... + 1175054.

Almost surely, 211533931982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11533931982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13397731776).

11533931982 is an abundant number, since it is smaller than the sum of its proper divisors (15261531570).

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

11533931982 is a wasteful number, since it uses less digits than its factorization.

11533931982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10135 (or 10126 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The spelling of 11533931982 in words is "eleven billion, five hundred thirty-three million, nine hundred thirty-one thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 233 279 466 558 699 837 1398 1674 2097 2511 4194 5022 6291 7223 9857 12582 14446 18873 19714 21669 29571 37746 43338 59142 65007 88713 130014 177426 195021 266139 305567 390042 532278 585063 611134 798417 916701 1170126 1596834 1833402 2296681 2750103 4593362 5500206 6890043 8250309 13780086 16500618 20670129 24750927 41340258 49501854 62010387 71197111 124020774 142394222 186031161 213591333 372062322 427182666 640773999 1281547998 1922321997 3844643994 5766965991 11533931982