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6009201820 = 22517193137811
BaseRepresentation
bin1011001100010110…
…10010010010011100
3120111210101002012101
411212023102102130
544301323424240
62432142014444
7301625241556
oct54613222234
916453332171
106009201820
1126040462a6
1211b8577424
13749c6b22b
144101264d6
1525285439a
hex1662d249c

6009201820 has 192 divisors, whose sum is σ = 14929367040. Its totient is φ = 2015539200.

The previous prime is 6009201817. The next prime is 6009201829. The reversal of 6009201820 is 281029006.

It is a happy number.

It is a super-2 number, since 2×60092018202 = 72221013026982624800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6009201829) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7409215 + ... + 7410025.

It is an arithmetic number, because the mean of its divisors is an integer number (77757120).

Almost surely, 26009201820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6009201820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7464683520).

6009201820 is an abundant number, since it is smaller than the sum of its proper divisors (8920165220).

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

6009201820 is a wasteful number, since it uses less digits than its factorization.

6009201820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 6009201820 is about 77519.0416607429. The cubic root of 6009201820 is about 1818.0490526101.

The spelling of 6009201820 in words is "six billion, nine million, two hundred one thousand, eight hundred twenty".