Search a number
-
+
11530602272 = 257311978429
BaseRepresentation
bin10101011110100011…
…10000011100100000
31002202120212021201102
422233101300130200
5142103313233042
65144100453532
7555511334150
oct125721603440
932676767642
1011530602272
1149877a7172
1222996aa2a8
131119b358a7
147b5550760
1547744eb32
hex2af470720

11530602272 has 96 divisors (see below), whose sum is σ = 26919889920. Its totient is φ = 4757437440.

The previous prime is 11530602221. The next prime is 11530602299. The reversal of 11530602272 is 27220603511.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1363754 + ... + 1372182.

It is an arithmetic number, because the mean of its divisors is an integer number (280415520).

Almost surely, 211530602272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11530602272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13459944960).

11530602272 is an abundant number, since it is smaller than the sum of its proper divisors (15389287648).

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

11530602272 is a wasteful number, since it uses less digits than its factorization.

11530602272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8674 (or 8666 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The spelling of 11530602272 in words is "eleven billion, five hundred thirty million, six hundred two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 197 217 224 248 394 434 496 788 868 992 1379 1576 1736 2758 3152 3472 5516 6107 6304 6944 8429 11032 12214 16858 22064 24428 33716 42749 44128 48856 59003 67432 85498 97712 118006 134864 170996 195424 236012 261299 269728 341992 472024 522598 683984 944048 1045196 1367968 1660513 1829093 1888096 2090392 3321026 3658186 4180784 6642052 7316372 8361568 11623591 13284104 14632744 23247182 26568208 29265488 46494364 51475903 53136416 58530976 92988728 102951806 185977456 205903612 360331321 371954912 411807224 720662642 823614448 1441325284 1647228896 2882650568 5765301136 11530602272