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11209199232 = 2737211311747
BaseRepresentation
bin10100111000001111…
…01100111010000000
31001221012002022122010
422130013230322000
5140424023333412
65052140012520
7544526423100
oct123407547200
931835068563
1011209199232
114832334320
122209b31140
131098382b8a
147849a9200
1545911433c
hex29c1ece80

11209199232 has 384 divisors, whose sum is σ = 39025428480. Its totient is φ = 2815948800.

The previous prime is 11209199167. The next prime is 11209199233. The reversal of 11209199232 is 23299190211.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×112091992322 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11209199233) 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, 6415383 + ... + 6417129.

It is an arithmetic number, because the mean of its divisors is an integer number (101628720).

Almost surely, 211209199232 is an apocalyptic number.

11209199232 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 11209199232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19512714240).

11209199232 is an abundant number, since it is smaller than the sum of its proper divisors (27816229248).

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

11209199232 is a wasteful number, since it uses less digits than its factorization.

11209199232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The spelling of 11209199232 in words is "eleven billion, two hundred nine million, one hundred ninety-nine thousand, two hundred thirty-two".