Search a number
-
+
7494488064 = 2123472461
BaseRepresentation
bin1101111101011010…
…01101000000000000
3201100022012102220000
412332231031000000
5110322042104224
63235400520000
7353502045300
oct67655150000
921308172800
107494488064
1131a6496898
121551a80000
139258ab22b
145114b9600
152dce440c9
hex1beb4d000

7494488064 has 390 divisors, whose sum is σ = 26099917074. Its totient is φ = 2136637440.

The previous prime is 7494488033. The next prime is 7494488081. The reversal of 7494488064 is 4608844947.

7494488064 is a `hidden beast` number, since 74 + 94 + 488 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5868785664 + 1625702400 = 76608^2 + 40320^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 7494488064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16256794 + ... + 16257254.

Almost surely, 27494488064 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 7494488064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13049958537).

7494488064 is an abundant number, since it is smaller than the sum of its proper divisors (18605429010).

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

7494488064 is an equidigital number, since it uses as much as digits as its factorization.

7494488064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 7494488064 is about 86570.7113520502. The cubic root of 7494488064 is about 1956.9541808458.

The spelling of 7494488064 in words is "seven billion, four hundred ninety-four million, four hundred eighty-eight thousand, sixty-four".