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2095893072 = 2432721373313
BaseRepresentation
bin111110011101100…
…1100101001010000
312102001210101210100
41330323030221100
513243022034242
6543550132400
7102636540300
oct17473145120
95361711710
102095893072
11986093539
124a5ab1100
132752b0720
1415c4db600
15c400554c
hex7cecca50

2095893072 has 360 divisors, whose sum is σ = 7472558184. Its totient is φ = 543449088.

The previous prime is 2095893071. The next prime is 2095893073. The reversal of 2095893072 is 2703985902.

It is an interprime number because it is at equal distance from previous prime (2095893071) and next prime (2095893073).

It can be written as a sum of positive squares in 4 ways, for example, as 30735936 + 2065157136 = 5544^2 + 45444^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2095893071) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6695988 + ... + 6696300.

Almost surely, 22095893072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2095893072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736279092).

2095893072 is an abundant number, since it is smaller than the sum of its proper divisors (5376665112).

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

2095893072 is a wasteful number, since it uses less digits than its factorization.

2095893072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2095893072 is about 45780.9247613021. The cubic root of 2095893072 is about 1279.7438191738.

The spelling of 2095893072 in words is "two billion, ninety-five million, eight hundred ninety-three thousand, seventy-two".