Search a number
-
+
64383004224 = 263471133143
BaseRepresentation
bin111011111101100001…
…101010111001000000
320011011221222111020000
4323331201222321000
52023324022113344
645324355120000
74436320335450
oct737541527100
9204157874200
1064383004224
1125339589000
12105898a3000
1360c081c306
14318aa25d60
151a1c430a69
hexefd86ae40

64383004224 has 1120 divisors, whose sum is σ = 253409452032. Its totient is φ = 15807052800.

The previous prime is 64383004207. The next prime is 64383004237. The reversal of 64383004224 is 42240038346.

64383004224 is a `hidden beast` number, since 643 + 8 + 3 + 0 + 0 + 4 + 2 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1497279147 + ... + 1497279189.

Almost surely, 264383004224 is an apocalyptic number.

64383004224 is a gapful number since it is divisible by the number (64) 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 64383004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126704726016).

64383004224 is an abundant number, since it is smaller than the sum of its proper divisors (189026447808).

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

64383004224 is a wasteful number, since it uses less digits than its factorization.

64383004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 64383004224 in words is "sixty-four billion, three hundred eighty-three million, four thousand, two hundred twenty-four".