Search a number
-
+
4809274132320 = 253457212975839
BaseRepresentation
bin100010111111011111100…
…0100111000011101100000
3122000202120120202011210000
41011332333010320131200
51112243343134213240
614121203335140000
71004313203430600
oct105767704703540
918022516664700
104809274132320
111594668963229
126580a0214600
1328b688267068
14128aad278c00
1585178578430
hex45fbf138760

4809274132320 has 720 divisors, whose sum is σ = 19762394541120. Its totient is φ = 1098226999296.

The previous prime is 4809274132297. The next prime is 4809274132349. The reversal of 4809274132320 is 232314729084.

4809274132320 is a `hidden beast` number, since 48 + 0 + 9 + 274 + 13 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×48092741323203 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 823643961 + ... + 823649799.

It is an arithmetic number, because the mean of its divisors is an integer number (27447770196).

Almost surely, 24809274132320 is an apocalyptic number.

4809274132320 is a gapful number since it is divisible by the number (40) 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 4809274132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9881197270560).

4809274132320 is an abundant number, since it is smaller than the sum of its proper divisors (14953120408800).

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

4809274132320 is a wasteful number, since it uses less digits than its factorization.

4809274132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7177 (or 7153 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 4809274132320 in words is "four trillion, eight hundred nine billion, two hundred seventy-four million, one hundred thirty-two thousand, three hundred twenty".