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673383247488 = 273271719263983
BaseRepresentation
bin10011100110010001100…
…01001110111010000000
32101101010020101021102100
421303020301032322000
542013042102404423
61233203055550400
766436031106660
oct11631061167200
92341106337370
10673383247488
1123a642319576
12aa60a82b400
134b665cb3743
14248403461a0
15127b24c7343
hex9cc8c4ee80

673383247488 has 768 divisors, whose sum is σ = 2480133427200. Its totient is φ = 170721312768.

The previous prime is 673383247463. The next prime is 673383247513. The reversal of 673383247488 is 884742383376.

673383247488 is a `hidden beast` number, since 6 + 7 + 3 + 3 + 83 + 2 + 474 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (673383247463) and next prime (673383247513).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 685028245 + ... + 685029227.

It is an arithmetic number, because the mean of its divisors is an integer number (3229340400).

Almost surely, 2673383247488 is an apocalyptic number.

673383247488 is a gapful number since it is divisible by the number (68) 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 673383247488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240066713600).

673383247488 is an abundant number, since it is smaller than the sum of its proper divisors (1806750179712).

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

673383247488 is a wasteful number, since it uses less digits than its factorization.

673383247488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1294 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 63.

The spelling of 673383247488 in words is "six hundred seventy-three billion, three hundred eighty-three million, two hundred forty-seven thousand, four hundred eighty-eight".