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2050488864 = 2533171371019
BaseRepresentation
bin111101000110111…
…1111101000100000
312021220100121221000
41322031333220200
513144411120424
6535245032000
7101545603434
oct17215775040
95256317830
102050488864
119624a16a6
12492855600
13268a74128
1415647c9c4
15c00373c9
hex7a37fa20

2050488864 has 192 divisors, whose sum is σ = 6384873600. Its totient is φ = 637968384.

The previous prime is 2050488851. The next prime is 2050488871. The reversal of 2050488864 is 4688840502.

2050488864 is a `hidden beast` number, since 2 + 0 + 504 + 8 + 88 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2011747 + ... + 2012765.

It is an arithmetic number, because the mean of its divisors is an integer number (33254550).

Almost surely, 22050488864 is an apocalyptic number.

2050488864 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 2050488864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192436800).

2050488864 is an abundant number, since it is smaller than the sum of its proper divisors (4334384736).

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

2050488864 is a wasteful number, since it uses less digits than its factorization.

2050488864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 2050488864 is about 45282.3239686304. The cubic root of 2050488864 is about 1270.4350637070.

The spelling of 2050488864 in words is "two billion, fifty million, four hundred eighty-eight thousand, eight hundred sixty-four".