Search a number
-
+
5020767936 = 263319314933
BaseRepresentation
bin1001010110100001…
…01101011011000000
3110221220110102211000
410223100231123000
540240304033221
62150112252000
7235263552252
oct45320553300
913856412730
105020767936
112147102298
12b81541000
13620250702
14358b49cd2
151e5ba9e26
hex12b42d6c0

5020767936 has 224 divisors, whose sum is σ = 16041420800. Its totient is φ = 1534049280.

The previous prime is 5020767929. The next prime is 5020767953. The reversal of 5020767936 is 6397670205.

5020767936 is a `hidden beast` number, since 502 + 0 + 76 + 79 + 3 + 6 = 666.

It is a super-2 number, since 2×50207679362 = 50416221334331400192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5020767891 and 5020767900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015326 + ... + 1020258.

Almost surely, 25020767936 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 5020767936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8020710400).

5020767936 is an abundant number, since it is smaller than the sum of its proper divisors (11020652864).

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

5020767936 is a wasteful number, since it uses less digits than its factorization.

5020767936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5004 (or 4988 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 5020767936 is about 70857.3774281832. The cubic root of 5020767936 is about 1712.3401877328.

The spelling of 5020767936 in words is "five billion, twenty million, seven hundred sixty-seven thousand, nine hundred thirty-six".