Search a number
-
+
20191490784 = 2534172571783
BaseRepresentation
bin10010110011100000…
…011011001011100000
31221010011212000020000
4102303200123023200
5312323010201114
613135325420000
71313235561033
oct226340331340
957104760200
1020191490784
11862162a973
123ab610a600
131b9a272aaa
14d978d101a
157d2993e09
hex4b381b2e0

20191490784 has 240 divisors, whose sum is σ = 63155762208. Its totient is φ = 6306398208.

The previous prime is 20191490749. The next prime is 20191490797. The reversal of 20191490784 is 48709419102.

It is a happy number.

20191490784 is a `hidden beast` number, since 2 + 0 + 1 + 91 + 490 + 78 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11323557 + ... + 11325339.

Almost surely, 220191490784 is an apocalyptic number.

20191490784 is a gapful number since it is divisible by the number (24) 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 20191490784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31577881104).

20191490784 is an abundant number, since it is smaller than the sum of its proper divisors (42964271424).

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

20191490784 is a wasteful number, since it uses less digits than its factorization.

20191490784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 20191490784 in words is "twenty billion, one hundred ninety-one million, four hundred ninety thousand, seven hundred eighty-four".