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2070079488 = 211321923257
BaseRepresentation
bin111101101100010…
…1110100000000000
312100021012221012200
41323120232200000
513214420020423
6541224553200
7102204246111
oct17330564000
95307187180
102070079488
119725623a4
12499322800
1326cb43109
14158cdc208
15c1b06d43
hex7b62e800

2070079488 has 288 divisors, whose sum is σ = 6592622400. Its totient is φ = 622854144.

The previous prime is 2070079481. The next prime is 2070079513. The reversal of 2070079488 is 8849700702.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2070079481) 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 23 ways as a sum of consecutive naturals, for example, 8054656 + ... + 8054912.

It is an arithmetic number, because the mean of its divisors is an integer number (22891050).

Almost surely, 22070079488 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 2070079488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296311200).

2070079488 is an abundant number, since it is smaller than the sum of its proper divisors (4522542912).

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

2070079488 is a wasteful number, since it uses less digits than its factorization.

2070079488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 2070079488 is about 45498.1262031746. The cubic root of 2070079488 is about 1274.4682109839.

The spelling of 2070079488 in words is "two billion, seventy million, seventy-nine thousand, four hundred eighty-eight".