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2007809856 = 2635139931
BaseRepresentation
bin111011110101100…
…1011111101000000
312011221001022100000
41313223023331000
513102444403411
6531122200000
7100520050023
oct16753137500
95157038300
102007809856
119403a1298
124804b3000
1325cc80090
1415092d1ba
15bb406956
hex77acbf40

2007809856 has 168 divisors, whose sum is σ = 6427910944. Its totient is φ = 617725440.

The previous prime is 2007809831. The next prime is 2007809861. The reversal of 2007809856 is 6589087002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197211 + ... + 207141.

Almost surely, 22007809856 is an apocalyptic number.

2007809856 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 2007809856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213955472).

2007809856 is an abundant number, since it is smaller than the sum of its proper divisors (4420101088).

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

2007809856 is an equidigital number, since it uses as much as digits as its factorization.

2007809856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9971 (or 9949 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2007809856 is about 44808.5913190763. The cubic root of 2007809856 is about 1261.5588868579.

The spelling of 2007809856 in words is "two billion, seven million, eight hundred nine thousand, eight hundred fifty-six".