Search a number
-
+
5447171358720 = 2143557133197
BaseRepresentation
bin100111101000100010010…
…1101101100000000000000
3201021202002201220210200000
41033101010231230000000
51203221301331434340
615330221310400000
71101354661411260
oct117210455540000
921252081823600
105447171358720
111810150251943
1273b846800000
13306887427690
1414b90471b7a0
1596a604b8d30
hex4f444b6c000

5447171358720 has 2880 divisors, whose sum is σ = 25135260573696. Its totient is φ = 1100753141760.

The previous prime is 5447171358719. The next prime is 5447171358737. The reversal of 5447171358720 is 278531717445.

5447171358720 is a `hidden beast` number, since 5 + 4 + 47 + 1 + 7 + 13 + 587 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×54471713587202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56156405712 + ... + 56156405808.

Almost surely, 25447171358720 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 5447171358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12567630286848).

5447171358720 is an abundant number, since it is smaller than the sum of its proper divisors (19688089214976).

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

5447171358720 is an equidigital number, since it uses as much as digits as its factorization.

5447171358720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 5447171358720 in words is "five trillion, four hundred forty-seven billion, one hundred seventy-one million, three hundred fifty-eight thousand, seven hundred twenty".