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673391384820 = 2233571129797069
BaseRepresentation
bin10011100110010010100…
…00010001100011110100
32101101010210200200202000
421303021100101203310
542013101143303240
61233203550215300
766436160220660
oct11631120214364
92341123620660
10673391384820
1123a646977240
12aa6114b4530
134b6678a252b
14248414638a0
15127b3083430
hex9cc94118f4

673391384820 has 768 divisors, whose sum is σ = 2736599040000. Its totient is φ = 133371463680.

The previous prime is 673391384819. The next prime is 673391384851. The reversal of 673391384820 is 28483193376.

673391384820 is a `hidden beast` number, since 6 + 73 + 3 + 91 + 3 + 8 + 482 + 0 = 666.

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

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 95256246 + ... + 95263314.

It is an arithmetic number, because the mean of its divisors is an integer number (3563280000).

Almost surely, 2673391384820 is an apocalyptic number.

673391384820 is a gapful number since it is divisible by the number (60) 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 673391384820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368299520000).

673391384820 is an abundant number, since it is smaller than the sum of its proper divisors (2063207655180).

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

673391384820 is a wasteful number, since it uses less digits than its factorization.

673391384820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7213 (or 7205 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 673391384820 in words is "six hundred seventy-three billion, three hundred ninety-one million, three hundred eighty-four thousand, eight hundred twenty".