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11199471360 = 28357311773
BaseRepresentation
bin10100110111000101…
…00101111100000000
31001220111210002111120
422123202211330000
5140414031040420
65051151312240
7544350636000
oct123342457400
931814702446
1011199471360
11482789a660
12220681b680
13109635813c
14783596000
15458341d40
hex29b8a5f00

11199471360 has 576 divisors, whose sum is σ = 45563212800. Its totient is φ = 2324152320.

The previous prime is 11199471337. The next prime is 11199471379. The reversal of 11199471360 is 6317499111.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14487934 + ... + 14488706.

It is an arithmetic number, because the mean of its divisors is an integer number (79102800).

Almost surely, 211199471360 is an apocalyptic number.

11199471360 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 11199471360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22781606400).

11199471360 is an abundant number, since it is smaller than the sum of its proper divisors (34363741440).

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

11199471360 is an equidigital number, since it uses as much as digits as its factorization.

11199471360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The spelling of 11199471360 in words is "eleven billion, one hundred ninety-nine million, four hundred seventy-one thousand, three hundred sixty".