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674583667680 = 253513731480909
BaseRepresentation
bin10011101000100000101…
…00011110001111100000
32101111012220011221100110
421310100110132033200
542023021404331210
61233522141051320
766510545365206
oct11642024361740
92344186157313
10674583667680
112400a8991a7a
12aa8a4856b40
134b7c78c4250
1424915945076
1512832a97420
hex9d1051e3e0

674583667680 has 192 divisors, whose sum is σ = 2319744813120. Its totient is φ = 163776577536.

The previous prime is 674583667673. The next prime is 674583667699. The reversal of 674583667680 is 86766385476.

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 31 ways as a sum of consecutive naturals, for example, 284935 + ... + 1195974.

It is an arithmetic number, because the mean of its divisors is an integer number (12082004235).

Almost surely, 2674583667680 is an apocalyptic number.

674583667680 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 674583667680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159872406560).

674583667680 is an abundant number, since it is smaller than the sum of its proper divisors (1645161145440).

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

674583667680 is a wasteful number, since it uses less digits than its factorization.

674583667680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481013 (or 1481005 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 66.

The spelling of 674583667680 in words is "six hundred seventy-four billion, five hundred eighty-three million, six hundred sixty-seven thousand, six hundred eighty".