Search a number
-
+
2630518464 = 263723431979
BaseRepresentation
bin1001110011001010…
…1000011011000000
320210022210011221210
42130302220123000
520341403042324
61113005050120
7122121016020
oct23462503300
96708704853
102630518464
11112a94a502
12614b56940
1332bc99c02
141ad507a80
15105e0cd29
hex9cca86c0

2630518464 has 224 divisors, whose sum is σ = 8497336320. Its totient is φ = 701826048.

The previous prime is 2630518463. The next prime is 2630518469. The reversal of 2630518464 is 4648150362.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (2630518463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1328227 + ... + 1330205.

Almost surely, 22630518464 is an apocalyptic number.

2630518464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2630518464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4248668160).

2630518464 is an abundant number, since it is smaller than the sum of its proper divisors (5866817856).

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

2630518464 is a wasteful number, since it uses less digits than its factorization.

2630518464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 2630518464 is about 51288.5802494083. The cubic root of 2630518464 is about 1380.4280797552.

The spelling of 2630518464 in words is "two billion, six hundred thirty million, five hundred eighteen thousand, four hundred sixty-four".