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673645053312 = 273271159128717
BaseRepresentation
bin10011100110110000101…
…11111100010110000000
32101101210111000101111100
421303120113330112000
542014111113201222
61233245051214400
766445360322160
oct11633027742600
92341714011440
10673645053312
1123a767086120
12aa682447400
134b6a82ca92a
14248670165a0
15127ca48e4ac
hex9cd85fc580

673645053312 has 384 divisors, whose sum is σ = 2457792979200. Its totient is φ = 172005765120.

The previous prime is 673645053311. The next prime is 673645053313. The reversal of 673645053312 is 213350546376.

It is a happy number.

673645053312 is a `hidden beast` number, since 6 + 7 + 3 + 64 + 50 + 533 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (673645053311) and next prime (673645053313).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673645053311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5169178 + ... + 5297894.

It is an arithmetic number, because the mean of its divisors is an integer number (6400502550).

Almost surely, 2673645053312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673645053312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228896489600).

673645053312 is an abundant number, since it is smaller than the sum of its proper divisors (1784147925888).

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

673645053312 is a wasteful number, since it uses less digits than its factorization.

673645053312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128814 (or 128799 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

Adding to 673645053312 its reverse (213350546376), we get a palindrome (886995599688).

The spelling of 673645053312 in words is "six hundred seventy-three billion, six hundred forty-five million, fifty-three thousand, three hundred twelve".