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20032020032 = 261013139901
BaseRepresentation
bin10010101010000000…
…000101111001000000
31220201001210001110212
4102222000011321000
5312011144120112
613111431413252
71306261234523
oct225200057100
956631701425
1020032020032
11854a60a162
123a70824228
131b732091bb
14d8065cbba
157c3993522
hex4aa005e40

20032020032 has 56 divisors (see below), whose sum is σ = 40276939512. Its totient is φ = 9884160000.

The previous prime is 20032020011. The next prime is 20032020061. The reversal of 20032020032 is 23002023002.

It can be written as a sum of positive squares in 4 ways, for example, as 6858489856 + 13173530176 = 82816^2 + 114776^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20032019989 and 20032020016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2018282 + ... + 2028182.

Almost surely, 220032020032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20032020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20138469756).

20032020032 is an abundant number, since it is smaller than the sum of its proper divisors (20244919480).

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

20032020032 is a wasteful number, since it uses less digits than its factorization.

20032020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10327 (or 10317 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 20032020032 its reverse (23002023002), we get a palindrome (43034043034).

The spelling of 20032020032 in words is "twenty billion, thirty-two million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 101 202 313 404 626 808 1252 1616 2504 3232 5008 6464 9901 10016 19802 20032 31613 39604 63226 79208 126452 158416 252904 316832 505808 633664 1000001 1011616 2000002 2023232 3099013 4000004 6198026 8000008 12396052 16000016 24792104 32000032 49584208 64000064 99168416 198336832 313000313 626000626 1252001252 2504002504 5008005008 10016010016 20032020032