Search a number
-
+
11232490272 = 2534322711987
BaseRepresentation
bin10100111011000001…
…00011001100100000
31001222210220121221020
422131200203030200
5141001004142042
65054331125440
7545231410023
oct123540431440
931883817836
1011232490272
1148444a2213
1222158a3880
1310a0149263
14787b0d1ba
1545b1b53ec
hex29d823320

11232490272 has 96 divisors (see below), whose sum is σ = 30306431232. Its totient is φ = 3640675584.

The previous prime is 11232490253. The next prime is 11232490273. The reversal of 11232490272 is 27209423211.

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 (11232490273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 931063 + ... + 943049.

It is an arithmetic number, because the mean of its divisors is an integer number (315691992).

Almost surely, 211232490272 is an apocalyptic number.

11232490272 is a gapful number since it is divisible by the number (12) 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 11232490272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15153215616).

11232490272 is an abundant number, since it is smaller than the sum of its proper divisors (19073940960).

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

11232490272 is a wasteful number, since it uses less digits than its factorization.

11232490272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12270 (or 12262 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 11232490272 in words is "eleven billion, two hundred thirty-two million, four hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 227 258 344 454 516 681 688 908 1032 1362 1376 1816 2064 2724 3632 4128 5448 7264 9761 10896 11987 19522 21792 23974 29283 35961 39044 47948 58566 71922 78088 95896 117132 143844 156176 191792 234264 287688 312352 383584 468528 515441 575376 937056 1030882 1150752 1546323 2061764 2721049 3092646 4123528 5442098 6185292 8163147 8247056 10884196 12370584 16326294 16494112 21768392 24741168 32652588 43536784 49482336 65305176 87073568 117005107 130610352 234010214 261220704 351015321 468020428 702030642 936040856 1404061284 1872081712 2808122568 3744163424 5616245136 11232490272