Search a number
-
+
326109265920 = 2153558191
BaseRepresentation
bin1001011111011011010…
…00001000000000000000
31011011202010010011100000
410233231220020000000
520320332433002140
6405451301200000
732363202011214
oct4575550100000
91134663104300
10326109265920
111163361a7219
1253251400000
13249a110b499
1411ad895a944
158739947a30
hex4beda08000

326109265920 has 384 divisors, whose sum is σ = 1172508180480. Its totient is φ = 86951854080.

The previous prime is 326109265907. The next prime is 326109265927. The reversal of 326109265920 is 29562901623.

326109265920 is a `hidden beast` number, since 3 + 2 + 610 + 9 + 2 + 6 + 5 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (326109265927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39809025 + ... + 39817215.

It is an arithmetic number, because the mean of its divisors is an integer number (3053406720).

Almost surely, 2326109265920 is an apocalyptic number.

326109265920 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 326109265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586254090240).

326109265920 is an abundant number, since it is smaller than the sum of its proper divisors (846398914560).

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

326109265920 is an frugal number, since it uses more digits than its factorization.

326109265920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8241 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 326109265920 in words is "three hundred twenty-six billion, one hundred nine million, two hundred sixty-five thousand, nine hundred twenty".