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20005360614 = 2333756917597
BaseRepresentation
bin10010101000011010…
…011001001111100110
31220122012121121122000
4102220122121033212
5311432333014424
613105040150130
71305515521341
oct225032311746
956565547560
1020005360614
118536560588
123a63908346
131b6a8338b5
14d7acbd458
157c14793c9
hex4a86993e6

20005360614 has 64 divisors (see below), whose sum is σ = 45740721600. Its totient is φ = 6476454144.

The previous prime is 20005360579. The next prime is 20005360619. The reversal of 20005360614 is 41606350002.

20005360614 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 53 + 606 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20005360619) 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 31 ways as a sum of consecutive naturals, for example, 1128064 + ... + 1145660.

It is an arithmetic number, because the mean of its divisors is an integer number (714698775).

Almost surely, 220005360614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20005360614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22870360800).

20005360614 is an abundant number, since it is smaller than the sum of its proper divisors (25735360986).

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

20005360614 is a wasteful number, since it uses less digits than its factorization.

20005360614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18214 (or 18208 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 20005360614 in words is "twenty billion, five million, three hundred sixty thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 569 666 999 1138 1707 1998 3414 5121 10242 15363 17597 21053 30726 35194 42106 52791 63159 105582 126318 158373 189477 316746 378954 475119 568431 651089 950238 1136862 1302178 1953267 3906534 5859801 10012693 11719602 17579403 20025386 30038079 35158806 60076158 90114237 180228474 270342711 370469641 540685422 740939282 1111408923 2222817846 3334226769 6668453538 10002680307 20005360614