Search a number
-
+
326827485257728 = 2137132193121847
BaseRepresentation
bin100101001001111110111010…
…0001010010110000000000000
31120212012101212101110010220011
41022103331310022112000000
5320314220142211221403
63115034250214154304
7125561335521615010
oct11223756412260000
91525171771403804
10326827485257728
1195156838064634
12307a5433652994
1311049913098700
145a9c76b285c40
1527bb7ed909a6d
hex1293f74296000

326827485257728 has 1008 divisors, whose sum is σ = 880269630831360. Its totient is φ = 118473971466240.

The previous prime is 326827485257719. The next prime is 326827485257839. The reversal of 326827485257728 is 827752584728623.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 176950451301 + ... + 176950453147.

It is an arithmetic number, because the mean of its divisors is an integer number (873283363920).

Almost surely, 2326827485257728 is an apocalyptic number.

326827485257728 is a gapful number since it is divisible by the number (38) 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 326827485257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440134815415680).

326827485257728 is an abundant number, since it is smaller than the sum of its proper divisors (553442145573632).

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

326827485257728 is a wasteful number, since it uses less digits than its factorization.

326827485257728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1919 counting only the distinct ones).

The product of its digits is 5057740800, while the sum is 76.

The spelling of 326827485257728 in words is "three hundred twenty-six trillion, eight hundred twenty-seven billion, four hundred eighty-five million, two hundred fifty-seven thousand, seven hundred twenty-eight".