Search a number
-
+
485045383680 = 293351113311583
BaseRepresentation
bin1110000111011101111…
…01010011001000000000
31201100222122110111021000
413003232331103020000
530421333104234210
61010454325532000
750020606510014
oct7035675231000
91640878414230
10485045383680
11177785523960
127a008874000
133697cb31b90
1419695054544
15c93ccd5ac0
hex70eef53200

485045383680 has 1280 divisors, whose sum is σ = 2090746183680. Its totient is φ = 104973926400.

The previous prime is 485045383673. The next prime is 485045383747. The reversal of 485045383680 is 86383540584.

485045383680 is a `hidden beast` number, since 4 + 8 + 50 + 453 + 83 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 306408169 + ... + 306409751.

It is an arithmetic number, because the mean of its divisors is an integer number (1633395456).

Almost surely, 2485045383680 is an apocalyptic number.

485045383680 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 485045383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045373091840).

485045383680 is an abundant number, since it is smaller than the sum of its proper divisors (1605700800000).

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

485045383680 is a wasteful number, since it uses less digits than its factorization.

485045383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 485045383680 in words is "four hundred eighty-five billion, forty-five million, three hundred eighty-three thousand, six hundred eighty".