Search a number
-
+
20002320032 = 257313762501
BaseRepresentation
bin10010101000001110…
…110010111010100000
31220121222220010201212
4102220032302322200
5311431043220112
613104451045252
71305450625562
oct225016627240
956558803655
1020002320032
118534874102
123a628a0828
131b6a00a936
14d7a72b332
157c1078522
hex4a83b2ea0

20002320032 has 48 divisors (see below), whose sum is σ = 40211036712. Its totient is φ = 9792000000.

The previous prime is 20002319947. The next prime is 20002320067. The reversal of 20002320032 is 23002320002.

It can be written as a sum of positive squares in 4 ways, for example, as 19893409936 + 108910096 = 141044^2 + 10436^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20002319989 and 20002320016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288782 + ... + 351282.

Almost surely, 220002320032 is an apocalyptic number.

It is an amenable number.

20002320032 is an abundant number, since it is smaller than the sum of its proper divisors (20208716680).

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

20002320032 is a wasteful number, since it uses less digits than its factorization.

20002320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62721 (or 62713 counting only the distinct ones).

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

Adding to 20002320032 its reverse (23002320002), we get a palindrome (43004640034).

It can be divided in two parts, 20002 and 320032, that multiplied together give a square (6401280064 = 800082).

The spelling of 20002320032 in words is "twenty billion, two million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 73 137 146 274 292 548 584 1096 1168 2192 2336 4384 10001 20002 40004 62501 80008 125002 160016 250004 320032 500008 1000016 2000032 4562573 8562637 9125146 17125274 18250292 34250548 36500584 68501096 73001168 137002192 146002336 274004384 625072501 1250145002 2500290004 5000580008 10001160016 20002320032