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11590669000 = 235311590669
BaseRepresentation
bin10101100101101101…
…11001001011001000
31002220202212222210001
422302312321023020
5142214202402000
65154044132344
7560141026621
oct126266711310
932822788701
1011590669000
114a086a3199
1222b58370b4
131129407031
147bd508a48
1547c86746a
hex2b2db92c8

11590669000 has 32 divisors (see below), whose sum is σ = 27122167800. Its totient is φ = 4636267200.

The previous prime is 11590668941. The next prime is 11590669007. The reversal of 11590669000 is 96609511.

11590669000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6068098404 + 5522570596 = 77898^2 + 74314^2 .

It is a super-2 number, since 2×115906690002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11590669007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5794335 + ... + 5796334.

Almost surely, 211590669000 is an apocalyptic number.

11590669000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11590669000 is an abundant number, since it is smaller than the sum of its proper divisors (15531498800).

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

11590669000 is a wasteful number, since it uses less digits than its factorization.

11590669000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11590690 (or 11590676 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 37.

The spelling of 11590669000 in words is "eleven billion, five hundred ninety million, six hundred sixty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 11590669 23181338 46362676 57953345 92725352 115906690 231813380 289766725 463626760 579533450 1159066900 1448833625 2318133800 2897667250 5795334500 11590669000