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11799189000 = 2334533137127
BaseRepresentation
bin10101111110100100…
…10101011000001000
31010110022020220110000
422333102111120020
5143131043022000
65230453323000
7565252310634
oct127722253010
933408226400
1011799189000
115005375375
122353636460
131160685351
147dd0a7dc4
15490d06000
hex2bf495608

11799189000 has 640 divisors, whose sum is σ = 44070174720. Its totient is φ = 2939328000.

The previous prime is 11799188941. The next prime is 11799189007. The reversal of 11799189000 is 98199711.

It is a super-2 number, since 2×117991890002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11799189007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 92906937 + ... + 92907063.

It is an arithmetic number, because the mean of its divisors is an integer number (68859648).

Almost surely, 211799189000 is an apocalyptic number.

11799189000 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 11799189000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22035087360).

11799189000 is an abundant number, since it is smaller than the sum of its proper divisors (32270985720).

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

11799189000 is a wasteful number, since it uses less digits than its factorization.

11799189000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 45.

The spelling of 11799189000 in words is "eleven billion, seven hundred ninety-nine million, one hundred eighty-nine thousand".