Search a number
-
+
5641996834656 = 2533721319273389
BaseRepresentation
bin101001000011010000100…
…1101111001011101100000
3201222100222110102102121000
41102012201031321131200
51214414302142202111
615555521512432000
71121422640550300
oct122064115713540
921870873372530
105641996834656
111885837143576
127715593a8600
1331c0656b06a0
141571074ab600
159bb64510c56
hex521a1379760

5641996834656 has 1728 divisors, whose sum is σ = 22111832433600. Its totient is φ = 1386798465024.

The previous prime is 5641996834651. The next prime is 5641996834679. The reversal of 5641996834656 is 6564386991465.

5641996834656 is a `hidden beast` number, since 5 + 6 + 419 + 96 + 83 + 46 + 5 + 6 = 666.

It is a super-3 number, since 3×56419968346563 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5641996834651) 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 287 ways as a sum of consecutive naturals, for example, 14503847710 + ... + 14503848098.

It is an arithmetic number, because the mean of its divisors is an integer number (12796199325).

Almost surely, 25641996834656 is an apocalyptic number.

5641996834656 is a gapful number since it is divisible by the number (56) 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 5641996834656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11055916216800).

5641996834656 is an abundant number, since it is smaller than the sum of its proper divisors (16469835598944).

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

5641996834656 is a wasteful number, since it uses less digits than its factorization.

5641996834656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 506 counting only the distinct ones).

The product of its digits is 1007769600, while the sum is 72.

The spelling of 5641996834656 in words is "five trillion, six hundred forty-one billion, nine hundred ninety-six million, eight hundred thirty-four thousand, six hundred fifty-six".