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5673593382912 = 2113471319131151
BaseRepresentation
bin101001010001111110010…
…0001001010100000000000
3202002101112110220101110000
41102203330201022200000
51220424004401223122
620022225100240000
71123621635021630
oct122437441124000
922071473811400
105673593382912
111898180610974
127776b6b40000
1332202c7703a0
1415886398c6c0
159c8b33a60ac
hex528fc84a800

5673593382912 has 1920 divisors, whose sum is σ = 22269210163200. Its totient is φ = 1397440512000.

The previous prime is 5673593382907. The next prime is 5673593382943. The reversal of 5673593382912 is 2192833953765.

It is a happy number.

5673593382912 is a `hidden beast` number, since 5 + 6 + 7 + 3 + 5 + 9 + 338 + 291 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5673593382912.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37573466037 + ... + 37573466187.

It is an arithmetic number, because the mean of its divisors is an integer number (11598546960).

Almost surely, 25673593382912 is an apocalyptic number.

5673593382912 is a gapful number since it is divisible by the number (52) 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 5673593382912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11134605081600).

5673593382912 is an abundant number, since it is smaller than the sum of its proper divisors (16595616780288).

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

5673593382912 is a wasteful number, since it uses less digits than its factorization.

5673593382912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 326 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 63.

The spelling of 5673593382912 in words is "five trillion, six hundred seventy-three billion, five hundred ninety-three million, three hundred eighty-two thousand, nine hundred twelve".