Search a number
-
+
20503396836 = 22341329229733
BaseRepresentation
bin10011000110000110…
…010000000111100100
31221220220202110220000
4103012012100013210
5313442332144321
613230310541300
71324043666106
oct230606200744
957826673800
1020503396836
1187716a656a
123b82667830
131c19a7bba0
14dc70c3576
15800055826
hex4c61901e4

20503396836 has 240 divisors, whose sum is σ = 60056026800. Its totient is φ = 6056322048.

The previous prime is 20503396787. The next prime is 20503396843. The reversal of 20503396836 is 63869330502.

20503396836 is a `hidden beast` number, since 20 + 503 + 3 + 96 + 8 + 36 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3047702436 + 17455694400 = 55206^2 + 132120^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20503396791 and 20503396800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27971526 + ... + 27972258.

It is an arithmetic number, because the mean of its divisors is an integer number (250233445).

Almost surely, 220503396836 is an apocalyptic number.

20503396836 is a gapful number since it is divisible by the number (26) 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 20503396836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30028013400).

20503396836 is an abundant number, since it is smaller than the sum of its proper divisors (39552629964).

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

20503396836 is a wasteful number, since it uses less digits than its factorization.

20503396836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 20503396836 in words is "twenty billion, five hundred three million, three hundred ninety-six thousand, eight hundred thirty-six".