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20000402000 = 245322943669
BaseRepresentation
bin10010101000000111…
…011110101001010000
31220121212021200200122
4102220013132221100
5311430100331000
613104342005412
71305425416625
oct225007365120
956555250618
1020000402000
118533784057
123a62116868
131b697b88c7
14d7a38c34c
157c0cea085
hex4a81dea50

20000402000 has 80 divisors (see below), whose sum is σ = 48573267600. Its totient is φ = 7965043200.

The previous prime is 20000401991. The next prime is 20000402057. The reversal of 20000402000 is 20400002.

It can be written as a sum of positive squares in 8 ways, for example, as 2780663824 + 17219738176 = 52732^2 + 131224^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436166 + ... + 479834.

It is an arithmetic number, because the mean of its divisors is an integer number (607165845).

Almost surely, 220000402000 is an apocalyptic number.

20000402000 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 20000402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24286633800).

20000402000 is an abundant number, since it is smaller than the sum of its proper divisors (28572865600).

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

20000402000 is a wasteful number, since it uses less digits than its factorization.

20000402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43921 (or 43905 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 20000402000 its reverse (20400002), we get a palindrome (20020802002).

The spelling of 20000402000 in words is "twenty billion, four hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 229 250 400 458 500 916 1000 1145 1832 2000 2290 3664 4580 5725 9160 11450 18320 22900 28625 43669 45800 57250 87338 91600 114500 174676 218345 229000 349352 436690 458000 698704 873380 1091725 1746760 2183450 3493520 4366900 5458625 8733800 10000201 10917250 17467600 20000402 21834500 40000804 43669000 50001005 80001608 87338000 100002010 160003216 200004020 250005025 400008040 500010050 800016080 1000020100 1250025125 2000040200 2500050250 4000080400 5000100500 10000201000 20000402000