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2095485920 = 2551131193199
BaseRepresentation
bin111110011100110…
…1001001111100000
312102001000201021122
41330321221033200
513242421022140
6543533311412
7102633223253
oct17471511740
95361021248
102095485920
11985935650
124a5935568
1327519a2c8
1415c43309a
15c3e74ab5
hex7ce693e0

2095485920 has 192 divisors, whose sum is σ = 5631897600. Its totient is φ = 729907200.

The previous prime is 2095485911. The next prime is 2095485923. The reversal of 2095485920 is 295845902.

It is a super-2 number, since 2×20954859202 = 8782122481836492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2095485923) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10529981 + ... + 10530179.

It is an arithmetic number, because the mean of its divisors is an integer number (29332800).

Almost surely, 22095485920 is an apocalyptic number.

2095485920 is a gapful number since it is divisible by the number (20) 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 2095485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815948800).

2095485920 is an abundant number, since it is smaller than the sum of its proper divisors (3536411680).

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

2095485920 is a wasteful number, since it uses less digits than its factorization.

2095485920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 2095485920 is about 45776.4778024697. The cubic root of 2095485920 is about 1279.6609453532.

The spelling of 2095485920 in words is "two billion, ninety-five million, four hundred eighty-five thousand, nine hundred twenty".