Search a number
-
+
5021761536 = 217341143
BaseRepresentation
bin1001010110101001…
…00000000000000000
3110221222022220210000
410223110200000000
540241032332121
62150145440000
7235305161121
oct45324400000
913858286700
105021761536
112147720850
12b81940000
1362050aa3c
14358d28048
151e5d04526
hex12b520000

5021761536 has 360 divisors, whose sum is σ = 16747791984. Its totient is φ = 1486356480.

The previous prime is 5021761519. The next prime is 5021761553. The reversal of 5021761536 is 6351671205.

5021761536 is a `hidden beast` number, since 5 + 0 + 2 + 1 + 7 + 615 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (5021761519) and next prime (5021761553).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5021761536.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 116785131 + ... + 116785173.

Almost surely, 25021761536 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 5021761536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8373895992).

5021761536 is an abundant number, since it is smaller than the sum of its proper divisors (11726030448).

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

5021761536 is an frugal number, since it uses more digits than its factorization.

5021761536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5021761536 is about 70864.3883484505. The cubic root of 5021761536 is about 1712.4531365228.

The spelling of 5021761536 in words is "five billion, twenty-one million, seven hundred sixty-one thousand, five hundred thirty-six".