Search a number
-
+
11000606250 = 23552920231
BaseRepresentation
bin10100011111010111…
…11110111000101010
31001101122120200212010
422033223332320222
5140012123400000
65015325100350
7536414416224
oct121753767052
931348520763
1011000606250
114735612327
1221700b76b6
1310640aa58a
14764dcb414
15445b5dd50
hex28fafee2a

11000606250 has 96 divisors (see below), whose sum is σ = 28449429120. Its totient is φ = 2832200000.

The previous prime is 11000606231. The next prime is 11000606257. The reversal of 11000606250 is 5260600011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11000606257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 533635 + ... + 553865.

It is an arithmetic number, because the mean of its divisors is an integer number (296348220).

Almost surely, 211000606250 is an apocalyptic number.

11000606250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000606250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14224714560).

11000606250 is an abundant number, since it is smaller than the sum of its proper divisors (17448822870).

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

11000606250 is an equidigital number, since it uses as much as digits as its factorization.

11000606250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20290 (or 20270 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The spelling of 11000606250 in words is "eleven billion, six hundred six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 125 145 150 174 250 290 375 435 625 725 750 870 1250 1450 1875 2175 3125 3625 3750 4350 6250 7250 9375 10875 18125 18750 20231 21750 36250 40462 54375 60693 90625 101155 108750 121386 181250 202310 271875 303465 505775 543750 586699 606930 1011550 1173398 1517325 1760097 2528875 2933495 3034650 3520194 5057750 5866990 7586625 8800485 12644375 14667475 15173250 17600970 25288750 29334950 37933125 44002425 63221875 73337375 75866250 88004850 126443750 146674750 189665625 220012125 366686875 379331250 440024250 733373750 1100060625 1833434375 2200121250 3666868750 5500303125 11000606250