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11029442500 = 225438311519
BaseRepresentation
bin10100100010110011…
…11110111111000100
31001110122211201202101
422101121332333010
5140042014130000
65022235121444
7540214500016
oct122131767704
931418751671
1011029442500
11474a91843a
1221798a3284
13106a06594b
14768b761b6
15448457e6a
hex29167efc4

11029442500 has 60 divisors (see below), whose sum is σ = 24184258560. Its totient is φ = 4399876000.

The previous prime is 11029442497. The next prime is 11029442503. The reversal of 11029442500 is 524492011.

It is an interprime number because it is at equal distance from previous prime (11029442497) and next prime (11029442503).

It is not an unprimeable number, because it can be changed into a prime (11029442503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 951741 + ... + 963259.

It is an arithmetic number, because the mean of its divisors is an integer number (403070976).

Almost surely, 211029442500 is an apocalyptic number.

11029442500 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 11029442500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12092129280).

11029442500 is an abundant number, since it is smaller than the sum of its proper divisors (13154816060).

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

11029442500 is a wasteful number, since it uses less digits than its factorization.

11029442500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11926 (or 11909 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 11029442500 in words is "eleven billion, twenty-nine million, four hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 383 500 625 766 1250 1532 1915 2500 3830 7660 9575 11519 19150 23038 38300 46076 47875 57595 95750 115190 191500 230380 239375 287975 478750 575950 957500 1151900 1439875 2879750 4411777 5759500 7199375 8823554 14398750 17647108 22058885 28797500 44117770 88235540 110294425 220588850 441177700 551472125 1102944250 2205888500 2757360625 5514721250 11029442500