Search a number
-
+
604189071616 = 281323721012
BaseRepresentation
bin10001100101011000111…
…10011001100100000000
32010202111222022221102211
420302230132121210000
534344334400242431
61141321032351504
761436240241544
oct10625436314400
92122458287384
10604189071616
11213264a86059
1299119845594
1344c897aac00
1421358773a24
1510ab29de2b1
hex8cac799900

604189071616 has 243 divisors, whose sum is σ = 1355594465673. Its totient is φ = 268633497600.

The previous prime is 604189071553. The next prime is 604189071671. The reversal of 604189071616 is 616170981406.

The square root of 604189071616 is 777296.

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

It can be written as a sum of positive squares in 13 ways, for example, as 10919414016 + 593269657600 = 104496^2 + 770240^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 604189071616.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5982069966 + ... + 5982070066.

Almost surely, 2604189071616 is an apocalyptic number.

604189071616 is the 777296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 604189071616

604189071616 is an abundant number, since it is smaller than the sum of its proper divisors (751405394057).

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

604189071616 is an equidigital number, since it uses as much as digits as its factorization.

604189071616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

Multiplying 604189071616 by its sum of digits (49), we get a square (29605264509184 = 54410722).

The spelling of 604189071616 in words is "six hundred four billion, one hundred eighty-nine million, seventy-one thousand, six hundred sixteen".