Search a number
-
+
5854328654328 = 233271117731376211
BaseRepresentation
bin101010100110001000100…
…1011100000100111111000
3202201200001020012110110100
41111030101023200213320
51231404131113414303
620241235204315400
71142650502335320
oct125142113404770
922650036173410
105854328654328
1119578969a3380
127a67369a2b60
133360a382347b
141634cb2a4280
15a24403ec8a3
hex553112e09f8

5854328654328 has 768 divisors, whose sum is σ = 21375712650240. Its totient is φ = 1401023692800.

The previous prime is 5854328654323. The next prime is 5854328654329. The reversal of 5854328654328 is 8234568234585.

5854328654328 is a `hidden beast` number, since 5 + 8 + 5 + 4 + 3 + 2 + 86 + 543 + 2 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5854328654323) 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 191 ways as a sum of consecutive naturals, for example, 942571143 + ... + 942577353.

It is an arithmetic number, because the mean of its divisors is an integer number (27832959180).

Almost surely, 25854328654328 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 5854328654328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10687856325120).

5854328654328 is an abundant number, since it is smaller than the sum of its proper divisors (15521383995912).

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

5854328654328 is a wasteful number, since it uses less digits than its factorization.

5854328654328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6468 (or 6461 counting only the distinct ones).

The product of its digits is 221184000, while the sum is 63.

The spelling of 5854328654328 in words is "five trillion, eight hundred fifty-four billion, three hundred twenty-eight million, six hundred fifty-four thousand, three hundred twenty-eight".