Search a number
-
+
326315329920 = 273652347647
BaseRepresentation
bin1001011111110011110…
…10001100100110000000
31011012021110212022000000
410233321322030212000
520321243211024140
6405523542000000
732401253352666
oct4577172144600
91135243768000
10326315329920
11116431551148
12532aa416000
1324a04a09948
1411b1807ac36
15874ca9da30
hex4bf9e8c980

326315329920 has 896 divisors, whose sum is σ = 1248357795840. Its totient is φ = 81337208832.

The previous prime is 326315329913. The next prime is 326315329933. The reversal of 326315329920 is 29923513623.

It is a happy number.

326315329920 is a `hidden beast` number, since 3 + 2 + 6 + 3 + 1 + 532 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 111 ways as a sum of consecutive naturals, for example, 504351037 + ... + 504351683.

Almost surely, 2326315329920 is an apocalyptic number.

326315329920 is a gapful number since it is divisible by the number (30) 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 326315329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624178897920).

326315329920 is an abundant number, since it is smaller than the sum of its proper divisors (922042465920).

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

326315329920 is an equidigital number, since it uses as much as digits as its factorization.

326315329920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 326315329920 in words is "three hundred twenty-six billion, three hundred fifteen million, three hundred twenty-nine thousand, nine hundred twenty".