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2009696832 = 263411132711
BaseRepresentation
bin111011111001001…
…1000101001000000
312012001121011210000
41313302120221000
513103440244312
6531230440000
7100542066303
oct16762305100
95161534700
102009696832
1194146aa80
12481063000
13260490c30
14150ca0b3a
15bb67aadc
hex77c98a40

2009696832 has 280 divisors, whose sum is σ = 7001451072. Its totient is φ = 561945600.

The previous prime is 2009696813. The next prime is 2009696849. The reversal of 2009696832 is 2386969002.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 739957 + ... + 742667.

Almost surely, 22009696832 is an apocalyptic number.

2009696832 is a gapful number since it is divisible by the number (22) 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 2009696832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500725536).

2009696832 is an abundant number, since it is smaller than the sum of its proper divisors (4991754240).

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

2009696832 is a wasteful number, since it uses less digits than its factorization.

2009696832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2009696832 is about 44829.6423362935. The cubic root of 2009696832 is about 1261.9539750629.

The spelling of 2009696832 in words is "two billion, nine million, six hundred ninety-six thousand, eight hundred thirty-two".