Search a number
-
+
5849823805056 = 27367111973587
BaseRepresentation
bin101010100100000010010…
…1010110111111010000000
3202201020102021112102000000
41111020010222313322000
51231320414343230211
620235212202000000
71142431041630060
oct125100452677200
922636367472000
105849823805056
111955995040450
127a589a1a6000
1333583643c69a
141631c0c953a0
15a2279ba2656
hex55204ab7e80

5849823805056 has 1792 divisors, whose sum is σ = 23284698393600. Its totient is φ = 1417327165440.

The previous prime is 5849823805039. The next prime is 5849823805079. The reversal of 5849823805056 is 6505083289485.

5849823805056 is a `hidden beast` number, since 5 + 8 + 4 + 98 + 2 + 38 + 0 + 505 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5849823804984 and 5849823805002.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 9965627995 + ... + 9965628581.

It is an arithmetic number, because the mean of its divisors is an integer number (12993693300).

Almost surely, 25849823805056 is an apocalyptic number.

5849823805056 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 5849823805056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11642349196800).

5849823805056 is an abundant number, since it is smaller than the sum of its proper divisors (17434874588544).

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

5849823805056 is a wasteful number, since it uses less digits than its factorization.

5849823805056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 5849823805056 in words is "five trillion, eight hundred forty-nine billion, eight hundred twenty-three million, eight hundred five thousand, fifty-six".