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495422919680 = 2105133725437
BaseRepresentation
bin1110011010110011000…
…00011101010000000000
31202100202212121221102012
413031121200131100000
531104111231412210
61015332200312052
750536020223013
oct7153140352000
91670685557365
10495422919680
11181120360297
1280024172628
1337944ac6b20
1419d9b3b137a
15cd48dbb305
hex735981d400

495422919680 has 264 divisors, whose sum is σ = 1315619886168. Its totient is φ = 177948721152.

The previous prime is 495422919619. The next prime is 495422919751. The reversal of 495422919680 is 86919224594.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 14430736384 + 480992183296 = 120128^2 + 693536^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91117922 + ... + 91123358.

Almost surely, 2495422919680 is an apocalyptic number.

495422919680 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 495422919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657809943084).

495422919680 is an abundant number, since it is smaller than the sum of its proper divisors (820196966488).

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

495422919680 is a wasteful number, since it uses less digits than its factorization.

495422919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549 (or 5494 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 59.

The spelling of 495422919680 in words is "four hundred ninety-five billion, four hundred twenty-two million, nine hundred nineteen thousand, six hundred eighty".