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2064568896 = 2632132127167
BaseRepresentation
bin111101100001110…
…1101001001000000
312022212211222002200
41323003231021000
513212012201041
6540510513200
7102106355205
oct17303551100
95285758080
102064568896
1196a439195
12497505800
1326b963b00
141582a5cac
15c13b91b6
hex7b0ed240

2064568896 has 252 divisors, whose sum is σ = 6497068032. Its totient is φ = 626476032.

The previous prime is 2064568889. The next prime is 2064568897. The reversal of 2064568896 is 6988654602.

It is a happy number.

2064568896 is a `hidden beast` number, since 20 + 6 + 456 + 88 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (2064568897) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12362605 + ... + 12362771.

It is an arithmetic number, because the mean of its divisors is an integer number (25782016).

Almost surely, 22064568896 is an apocalyptic number.

2064568896 is a gapful number since it is divisible by the number (26) 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 2064568896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248534016).

2064568896 is an abundant number, since it is smaller than the sum of its proper divisors (4432499136).

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

2064568896 is a wasteful number, since it uses less digits than its factorization.

2064568896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 2064568896 is about 45437.5273975158. The cubic root of 2064568896 is about 1273.3363195992.

The spelling of 2064568896 in words is "two billion, sixty-four million, five hundred sixty-eight thousand, eight hundred ninety-six".