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8309329920 = 2123455009
BaseRepresentation
bin1111011110100011…
…00101000000000000
3210110002110200210000
413233101211000000
5114004142024140
63452305440000
7412625065443
oct75721450000
923402420700
108309329920
113584444611
12173a940000
13a25659788
1458b7c965a
1533974da30
hex1ef465000

8309329920 has 260 divisors, whose sum is σ = 29792796660. Its totient is φ = 2215378944.

The previous prime is 8309329913. The next prime is 8309329927. The reversal of 8309329920 is 299239038.

It is an interprime number because it is at equal distance from previous prime (8309329913) and next prime (8309329927).

It can be written as a sum of positive squares in 2 ways, for example, as 3451797504 + 4857532416 = 58752^2 + 69696^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8309329927) 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 19 ways as a sum of consecutive naturals, for example, 1656376 + ... + 1661384.

Almost surely, 28309329920 is an apocalyptic number.

8309329920 is a gapful number since it is divisible by the number (80) 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 8309329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14896398330).

8309329920 is an abundant number, since it is smaller than the sum of its proper divisors (21483466740).

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

8309329920 is an equidigital number, since it uses as much as digits as its factorization.

8309329920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 8309329920 is about 91155.5259981533. The cubic root of 8309329920 is about 2025.4522117643.

The spelling of 8309329920 in words is "eight billion, three hundred nine million, three hundred twenty-nine thousand, nine hundred twenty".