Search a number
-
+
76604400625 = 54110712
BaseRepresentation
bin100011101010111111…
…0100110001111110001
321022201200200202100011
41013111332212033301
52223341211310000
655105214054521
75351220442654
oct1072576461761
9238650622304
1076604400625
112a540207005
1212a1a7aa441
1372ba7c000c
1439c9bd589b
151ed53352ba
hex11d5fa63f1

76604400625 has 15 divisors (see below), whose sum is σ = 95733506253. Its totient is φ = 61277985000.

The previous prime is 76604400619. The next prime is 76604400637. The reversal of 76604400625 is 52600440667.

The square root of 76604400625 is 276775.

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

It can be written as a sum of positive squares in 2 ways, for example, as 6005785009 + 70598615616 = 77497^2 + 265704^2 .

It is not a de Polignac number, because 76604400625 - 23 = 76604400617 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6913840 + ... + 6924910.

Almost surely, 276604400625 is an apocalyptic number.

76604400625 is the 276775-th square number.

76604400625 is the 138388-th centered octagonal number.

It is an amenable number.

76604400625 is a deficient number, since it is larger than the sum of its proper divisors (19129105628).

76604400625 is an frugal number, since it uses more digits than its factorization.

76604400625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22162 (or 11076 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 76604400625 in words is "seventy-six billion, six hundred four million, four hundred thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 11071 55355 276775 1383875 6919375 122567041 612835205 3064176025 15320880125 76604400625