Search a number
-
+
489957183600 = 2435217199120691
BaseRepresentation
bin1110010000100111011…
…10010101000001110000
31201211122221212210001120
413020103232111001300
531011413014333400
61013025550502240
750253411226263
oct7102356250160
91654587783046
10489957183600
11179876069935
127ab59804980
133728361bb71
14199dd516cda
15cb29118ca0
hex7213b95070

489957183600 has 240 divisors, whose sum is σ = 1670184172800. Its totient is φ = 122350694400.

The previous prime is 489957183587. The next prime is 489957183607. The reversal of 489957183600 is 6381759984.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4899571836002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (489957183607) 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, 3999255 + ... + 4119945.

It is an arithmetic number, because the mean of its divisors is an integer number (6959100720).

Almost surely, 2489957183600 is an apocalyptic number.

489957183600 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 489957183600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835092086400).

489957183600 is an abundant number, since it is smaller than the sum of its proper divisors (1180226989200).

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

489957183600 is a wasteful number, since it uses less digits than its factorization.

489957183600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120928 (or 120917 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 489957183600 in words is "four hundred eighty-nine billion, nine hundred fifty-seven million, one hundred eighty-three thousand, six hundred".