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2326096327968 = 2532726118114929
BaseRepresentation
bin100001110110010110001…
…001010011010100100000
322020101001122121200202200
4201312112021103110200
5301102321124443333
64540332141013200
7330024556362300
oct41662611232440
98211048550680
102326096327968
11817545810586
12316990b54200
1313b471a9295a
14808257dd600
154079171bc13
hex21d96253520

2326096327968 has 432 divisors, whose sum is σ = 7864690611960. Its totient is φ = 650048716800.

The previous prime is 2326096327949. The next prime is 2326096328047. The reversal of 2326096327968 is 8697236906232.

It can be written as a sum of positive squares in 4 ways, for example, as 1055904215184 + 1270192112784 = 1027572^2 + 1127028^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 155803128 + ... + 155818056.

Almost surely, 22326096327968 is an apocalyptic number.

2326096327968 is a gapful number since it is divisible by the number (28) 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 2326096327968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932345305980).

2326096327968 is an abundant number, since it is smaller than the sum of its proper divisors (5538594283992).

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

2326096327968 is a wasteful number, since it uses less digits than its factorization.

2326096327968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15201 (or 15183 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 2326096327968 in words is "two trillion, three hundred twenty-six billion, ninety-six million, three hundred twenty-seven thousand, nine hundred sixty-eight".