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20425361300 = 225210118111173
BaseRepresentation
bin10011000001011100…
…100100011110010100
31221201110220212020222
4103001130210132110
5313312343030200
613214442213512
71322105464211
oct230134443624
957643825228
1020425361300
118731647293
123b604b4298
131c06858a06
14dba9acb08
157e828dd85
hex4c1724794

20425361300 has 72 divisors (see below), whose sum is σ = 45013207512. Its totient is φ = 8043840000.

The previous prime is 20425361273. The next prime is 20425361309. The reversal of 20425361300 is 316352402.

It can be written as a sum of positive squares in 12 ways, for example, as 6466411396 + 13958949904 = 80414^2 + 118148^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20425361300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20425361309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1822514 + ... + 1833686.

Almost surely, 220425361300 is an apocalyptic number.

20425361300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20425361300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22506603756).

20425361300 is an abundant number, since it is smaller than the sum of its proper divisors (24587846212).

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

20425361300 is a wasteful number, since it uses less digits than its factorization.

20425361300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11469 (or 11462 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The spelling of 20425361300 in words is "twenty billion, four hundred twenty-five million, three hundred sixty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 181 202 362 404 505 724 905 1010 1810 2020 2525 3620 4525 5050 9050 10100 11173 18100 18281 22346 36562 44692 55865 73124 91405 111730 182810 223460 279325 365620 457025 558650 914050 1117300 1128473 1828100 2022313 2256946 4044626 4513892 5642365 8089252 10111565 11284730 20223130 22569460 28211825 40446260 50557825 56423650 101115650 112847300 202231300 204253613 408507226 817014452 1021268065 2042536130 4085072260 5106340325 10212680650 20425361300