Search a number
-
+
11085536320 = 265192379273
BaseRepresentation
bin10100101001011111…
…11101110001000000
31001121120101121000021
422110233331301000
5140200344130240
65032001303224
7541465334605
oct122457756100
931546347007
1011085536320
114779550571
122194634b14
131078875961
147723b86ac
1544d33854a
hex294bfdc40

11085536320 has 112 divisors (see below), whose sum is σ = 28995258240. Its totient is φ = 4018139136.

The previous prime is 11085536311. The next prime is 11085536327. The reversal of 11085536320 is 2363558011.

11085536320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11085536327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100204 + ... + 179476.

Almost surely, 211085536320 is an apocalyptic number.

11085536320 is a gapful number since it is divisible by the number (10) 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 11085536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14497629120).

11085536320 is an abundant number, since it is smaller than the sum of its proper divisors (17909721920).

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

11085536320 is a wasteful number, since it uses less digits than its factorization.

11085536320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79332 (or 79322 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 11085536320 in words is "eleven billion, eighty-five million, five hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 23 32 38 40 46 64 76 80 92 95 115 152 160 184 190 230 304 320 368 380 437 460 608 736 760 874 920 1216 1472 1520 1748 1840 2185 3040 3496 3680 4370 6080 6992 7360 8740 13984 17480 27968 34960 69920 79273 139840 158546 317092 396365 634184 792730 1268368 1506187 1585460 1823279 2536736 3012374 3170920 3646558 5073472 6024748 6341840 7293116 7530935 9116395 12049496 12683680 14586232 15061870 18232790 24098992 25367360 29172464 30123740 34642301 36465580 48197984 58344928 60247480 69284602 72931160 96395968 116689856 120494960 138569204 145862320 173211505 240989920 277138408 291724640 346423010 481979840 554276816 583449280 692846020 1108553632 1385692040 2217107264 2771384080 5542768160 11085536320