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6009534128 = 241335381847
BaseRepresentation
bin1011001100011001…
…00011011010110000
3120111210222222001002
411212030203122300
544301420043003
62432153101132
7301631124443
oct54614433260
916453888032
106009534128
112604252a34
1211b86b77a8
1374a056570
144101b165a
152528bca88
hex1663236b0

6009534128 has 40 divisors (see below), whose sum is σ = 12574799328. Its totient is φ = 2765740032.

The previous prime is 6009534121. The next prime is 6009534137. The reversal of 6009534128 is 8214359006.

It is a happy number.

It is a super-2 number, since 2×60095341282 = 72229000871193440768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6009534091 and 6009534100.

It is not an unprimeable number, because it can be changed into a prime (6009534121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32501 + ... + 114347.

Almost surely, 26009534128 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 6009534128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6287399664).

6009534128 is an abundant number, since it is smaller than the sum of its proper divisors (6565265200).

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

6009534128 is a wasteful number, since it uses less digits than its factorization.

6009534128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82221 (or 82215 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 6009534128 is about 77521.1850270621. The cubic root of 6009534128 is about 1818.0825646098.

The spelling of 6009534128 in words is "six billion, nine million, five hundred thirty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 353 706 1412 2824 4589 5648 9178 18356 36712 73424 81847 163694 327388 654776 1064011 1309552 2128022 4256044 8512088 17024176 28891991 57783982 115567964 231135928 375595883 462271856 751191766 1502383532 3004767064 6009534128