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11327270304 = 253782920333
BaseRepresentation
bin10101000110010100…
…00110110110100000
31002020102020221200210
422203022012312200
5141144240122204
65111554414120
7550462131450
oct124312066640
932212227623
1011327270304
114892a48919
122241591340
1310b6982b0c
14796541d60
15464688389
hex2a3286da0

11327270304 has 96 divisors (see below), whose sum is σ = 34024475520. Its totient is φ = 3232300032.

The previous prime is 11327270257. The next prime is 11327270309. The reversal of 11327270304 is 40307272311.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (11327270309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546922 + ... + 567254.

It is an arithmetic number, because the mean of its divisors is an integer number (354421620).

Almost surely, 211327270304 is an apocalyptic number.

11327270304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11327270304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17012237760).

11327270304 is an abundant number, since it is smaller than the sum of its proper divisors (22697205216).

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

11327270304 is a wasteful number, since it uses less digits than its factorization.

11327270304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21182 (or 21174 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The spelling of 11327270304 in words is "eleven billion, three hundred twenty-seven million, two hundred seventy thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 829 1658 2487 3316 4974 5803 6632 9948 11606 13264 17409 19896 20333 23212 26528 34818 39792 40666 46424 60999 69636 79584 81332 92848 121998 139272 142331 162664 185696 243996 278544 284662 325328 426993 487992 557088 569324 650656 853986 975984 1138648 1707972 1951968 2277296 3415944 4554592 6831888 13663776 16856057 33712114 50568171 67424228 101136342 117992399 134848456 202272684 235984798 269696912 353977197 404545368 471969596 539393824 707954394 809090736 943939192 1415908788 1618181472 1887878384 2831817576 3775756768 5663635152 11327270304