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10204450002 = 2323792916493
BaseRepresentation
bin10011000000011101…
…11000110011010010
3222100011110202210200
421200032320303102
5131344314400002
64404324440030
7510606252045
oct114016706322
928304422720
1010204450002
11436716735a
121b89549016
13c681720c6
146cb382c5c
153eace5b1c
hex2603b8cd2

10204450002 has 48 divisors (see below), whose sum is σ = 22733020440. Its totient is φ = 3305788416.

The previous prime is 10204450001. The next prime is 10204450021. The reversal of 10204450002 is 20005440201.

10204450002 is a `hidden beast` number, since 10 + 204 + 450 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4971519081 + 5232930921 = 70509^2 + 72339^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10204450001) 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, 610468 + ... + 626960.

Almost surely, 210204450002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10204450002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11366510220).

10204450002 is an abundant number, since it is smaller than the sum of its proper divisors (12528570438).

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

10204450002 is a wasteful number, since it uses less digits than its factorization.

10204450002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17467 (or 17464 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 10204450002 its reverse (20005440201), we get a palindrome (30209890203).

The spelling of 10204450002 in words is "ten billion, two hundred four million, four hundred fifty thousand, two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 929 1858 2787 5574 8361 16493 16722 32986 34373 49479 68746 98958 103119 148437 206238 296874 309357 610241 618714 1220482 1830723 3661446 5492169 10984338 15321997 30643994 45965991 91931982 137897973 275795946 566913889 1133827778 1700741667 3401483334 5102225001 10204450002