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5641337041920 = 21034571918919
BaseRepresentation
bin101001000010111100111…
…1000111111010000000000
3201222022021110220111010000
41102011321320333100000
51214411424240320140
615555332223040000
71121400406446306
oct122057170772000
921868243814100
105641337041920
111885528766518
127713b4440000
1331bc8baab298
141570839dc276
159bb26631a30
hex52179e3f400

5641337041920 has 440 divisors, whose sum is σ = 20244548332800. Its totient is φ = 1502184849408.

The previous prime is 5641337041889. The next prime is 5641337041927. The reversal of 5641337041920 is 291407331465.

5641337041920 is a `hidden beast` number, since 56 + 41 + 3 + 370 + 4 + 192 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5641337041927) 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 39 ways as a sum of consecutive naturals, for example, 298174221 + ... + 298193139.

It is an arithmetic number, because the mean of its divisors is an integer number (46010337120).

Almost surely, 25641337041920 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 5641337041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10122274166400).

5641337041920 is an abundant number, since it is smaller than the sum of its proper divisors (14603211290880).

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

5641337041920 is a wasteful number, since it uses less digits than its factorization.

5641337041920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19675 (or 19648 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 5641337041920 in words is "five trillion, six hundred forty-one billion, three hundred thirty-seven million, forty-one thousand, nine hundred twenty".