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2065836864 = 263731319127
BaseRepresentation
bin111101100100010…
…0010101101000000
312022222020101102110
41323020202231000
513212323234424
6540554015320
7102123216000
oct17310425500
95288211373
102065836864
119701248a3
12497a17540
1326bcb8ca0
14158516000
15c1569c29
hex7b222b40

2065836864 has 448 divisors, whose sum is σ = 7282688000. Its totient is φ = 512096256.

The previous prime is 2065836863. The next prime is 2065836887. The reversal of 2065836864 is 4686385602.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×20658368642 = 8535363897322708992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2065836863) 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 63 ways as a sum of consecutive naturals, for example, 16266369 + ... + 16266495.

It is an arithmetic number, because the mean of its divisors is an integer number (16256000).

Almost surely, 22065836864 is an apocalyptic number.

2065836864 is a gapful number since it is divisible by the number (24) 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 2065836864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641344000).

2065836864 is an abundant number, since it is smaller than the sum of its proper divisors (5216851136).

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

2065836864 is a wasteful number, since it uses less digits than its factorization.

2065836864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The square root of 2065836864 is about 45451.4781277793. The cubic root of 2065836864 is about 1273.5969420943.

The spelling of 2065836864 in words is "two billion, sixty-five million, eight hundred thirty-six thousand, eight hundred sixty-four".