Search a number
-
+
20263819536 = 243223103191311
BaseRepresentation
bin10010110111110100…
…010101100100010000
31221022012221200121200
4102313310111210100
5313000014211121
613150431551200
71315104424032
oct226764254420
957265850550
1020263819536
1186594415a4
123b1638b500
131bac24857c
14da335bc52
157d8ecea26
hex4b7d15910

20263819536 has 240 divisors, whose sum is σ = 60256714752. Its totient is φ = 6344236800.

The previous prime is 20263819517. The next prime is 20263819567. The reversal of 20263819536 is 63591836202.

20263819536 is a `hidden beast` number, since 2 + 0 + 2 + 638 + 1 + 9 + 5 + 3 + 6 = 666.

It is a super-3 number, since 3×202638195363 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20263819491 and 20263819500.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65156821 + ... + 65157131.

Almost surely, 220263819536 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 20263819536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30128357376).

20263819536 is an abundant number, since it is smaller than the sum of its proper divisors (39992895216).

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

20263819536 is a wasteful number, since it uses less digits than its factorization.

20263819536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 20263819536 in words is "twenty billion, two hundred sixty-three million, eight hundred nineteen thousand, five hundred thirty-six".