Search a number
-
+
20500223616 = 2732315310831
BaseRepresentation
bin10011000101111010…
…001001011010000000
31221220200210021001100
4103011322021122000
5313441024123431
613230114534400
71324005011535
oct230572113200
957820707040
1020500223616
11876a929474
123b81597400
131c1920a742
14dc68d8d8c
157eeb2a4e6
hex4c5e89680

20500223616 has 192 divisors, whose sum is σ = 62049162240. Its totient is φ = 6487603200.

The previous prime is 20500223581. The next prime is 20500223651. The reversal of 20500223616 is 61632200502.

20500223616 is a `hidden beast` number, since 20 + 5 + 0 + 0 + 2 + 23 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (20500223581) and next prime (20500223651).

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 20500223616.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1887321 + ... + 1898151.

It is an arithmetic number, because the mean of its divisors is an integer number (323172720).

Almost surely, 220500223616 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 20500223616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31024581120).

20500223616 is an abundant number, since it is smaller than the sum of its proper divisors (41548938624).

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

20500223616 is a wasteful number, since it uses less digits than its factorization.

20500223616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10935 (or 10920 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 20500223616 in words is "twenty billion, five hundred million, two hundred twenty-three thousand, six hundred sixteen".