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483841673640 = 23325131717335153
BaseRepresentation
bin1110000101001110011…
…01100000100110101000
31201020212202110200111200
413002213031200212220
530411401432024030
61010135050124200
746646022240213
oct7024715404650
91636782420450
10483841673640
11177218013776
1279931720660
133681a63bb10
14195bd23a77a
15c8bc2b5d60
hex70a73609a8

483841673640 has 384 divisors, whose sum is σ = 1803476132640. Its totient is φ = 111442526208.

The previous prime is 483841673629. The next prime is 483841673663. The reversal of 483841673640 is 46376148384.

483841673640 is a `hidden beast` number, since 48 + 3 + 84 + 167 + 364 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 11600582436 + 472241091204 = 107706^2 + 687198^2 .

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 13746304 + ... + 13781456.

Almost surely, 2483841673640 is an apocalyptic number.

483841673640 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 483841673640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901738066320).

483841673640 is an abundant number, since it is smaller than the sum of its proper divisors (1319634459000).

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

483841673640 is a wasteful number, since it uses less digits than its factorization.

483841673640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35373 (or 35366 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

It can be divided in two parts, 483841 and 673640, that added together give a triangular number (1157481 = T1521).

The spelling of 483841673640 in words is "four hundred eighty-three billion, eight hundred forty-one million, six hundred seventy-three thousand, six hundred forty".