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6421420170 = 23251159109937
BaseRepresentation
bin1011111101011111…
…10001100010001010
3121120112000221110200
411332233301202022
5101122340421140
62541105153030
7315062112414
oct57657614212
917515027420
106421420170
1127a57a7020
1212b262b776
137b449a009
1444cb8b9b4
15278b2d030
hex17ebf188a

6421420170 has 96 divisors (see below), whose sum is σ = 18522354240. Its totient is φ = 1530309120.

The previous prime is 6421420141. The next prime is 6421420171. The reversal of 6421420170 is 710241246.

6421420170 is a `hidden beast` number, since 642 + 1 + 4 + 2 + 0 + 17 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (6421420171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3442 + ... + 113378.

It is an arithmetic number, because the mean of its divisors is an integer number (192941190).

Almost surely, 26421420170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6421420170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9261177120).

6421420170 is an abundant number, since it is smaller than the sum of its proper divisors (12100934070).

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

6421420170 is a wasteful number, since it uses less digits than its factorization.

6421420170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110020 (or 110017 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6421420170 is about 80133.7642320639. The cubic root of 6421420170 is about 1858.7045523475.

The spelling of 6421420170 in words is "six billion, four hundred twenty-one million, four hundred twenty thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 59 66 90 99 110 118 165 177 198 295 330 354 495 531 590 649 885 990 1062 1298 1770 1947 2655 3245 3894 5310 5841 6490 9735 11682 19470 29205 58410 109937 219874 329811 549685 659622 989433 1099370 1209307 1649055 1978866 2418614 3298110 3627921 4947165 6046535 6486283 7255842 9894330 10883763 12093070 12972566 18139605 19458849 21767526 32431415 36279210 38917698 54418815 58376547 64862830 71349113 97294245 108837630 116753094 142698226 194588490 214047339 291882735 356745565 428094678 583765470 642142017 713491130 1070236695 1284284034 2140473390 3210710085 6421420170