Search a number
-
+
47360640625 = 5617412
BaseRepresentation
bin101100000110111010…
…100000011001110001
311112020122101211012221
4230012322200121301
51233443311000000
633431314521041
73264432542314
oct540672403161
9145218354187
1047360640625
11190a3935311
129218b96181
134609cc8a0c
142413da497b
151372cdc61a
hexb06ea0671

47360640625 has 21 divisors (see below), whose sum is σ = 59234066013. Its totient is φ = 37866750000.

The previous prime is 47360640583. The next prime is 47360640653. The reversal of 47360640625 is 52604606374.

The square root of 47360640625 is 217625.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 6966072369 + 40394568256 = 83463^2 + 200984^2 .

It is not a de Polignac number, because 47360640625 - 227 = 47226422897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 27202255 + ... + 27203995.

Almost surely, 247360640625 is an apocalyptic number.

47360640625 is the 217625-th square number.

47360640625 is the 108813-rd centered octagonal number.

It is an amenable number.

47360640625 is a deficient number, since it is larger than the sum of its proper divisors (11873425388).

47360640625 is an frugal number, since it uses more digits than its factorization.

47360640625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The spelling of 47360640625 in words is "forty-seven billion, three hundred sixty million, six hundred forty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 1741 3125 8705 15625 43525 217625 1088125 3031081 5440625 15155405 27203125 75777025 378885125 1894425625 9472128125 47360640625