Search a number
-
+
6420363264 = 2113571997
BaseRepresentation
bin1011111101010111…
…01111100000000000
3121120110001020200000
411332223233200000
5101122103111024
62541030400000
7315050121150
oct57653574000
917513036600
106420363264
1127a5144a47
1212b2200000
137b41b9c23
1444c994760
152789becc9
hex17eaef800

6420363264 has 576 divisors, whose sum is σ = 23372294400. Its totient is φ = 1719926784.

The previous prime is 6420363241. The next prime is 6420363269. The reversal of 6420363264 is 4623630246.

6420363264 is a `hidden beast` number, since 642 + 0 + 3 + 6 + 3 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6420363269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66189264 + ... + 66189360.

It is an arithmetic number, because the mean of its divisors is an integer number (40576900).

Almost surely, 26420363264 is an apocalyptic number.

6420363264 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 6420363264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11686147200).

6420363264 is an abundant number, since it is smaller than the sum of its proper divisors (16951931136).

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

6420363264 is an equidigital number, since it uses as much as digits as its factorization.

6420363264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 6420363264 is about 80127.1693247677. The cubic root of 6420363264 is about 1858.6025715950.

The spelling of 6420363264 in words is "six billion, four hundred twenty million, three hundred sixty-three thousand, two hundred sixty-four".