Search a number
-
+
485523642240 = 273557213329
BaseRepresentation
bin1110001000010110111…
…01101101011110000000
31201102012222101112200000
413010023131231132000
530423323023022430
61011014012400000
750035504602600
oct7041335553600
91642188345600
10485523642240
11177a0049066a
127a120a76000
1336a27c44000
14196dc78ac00
15c969ca6e60
hex710b76d780

485523642240 has 2304 divisors, whose sum is σ = 2266553016000. Its totient is φ = 98907734016.

The previous prime is 485523642221. The next prime is 485523642277. The reversal of 485523642240 is 42246325584.

It is a happy number.

485523642240 is a `hidden beast` number, since 4 + 8 + 5 + 523 + 64 + 22 + 40 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16742194546 + ... + 16742194574.

Almost surely, 2485523642240 is an apocalyptic number.

485523642240 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 485523642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133276508000).

485523642240 is an abundant number, since it is smaller than the sum of its proper divisors (1781029373760).

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

485523642240 is an equidigital number, since it uses as much as digits as its factorization.

485523642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 485523642240 in words is "four hundred eighty-five billion, five hundred twenty-three million, six hundred forty-two thousand, two hundred forty".