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2059134048 = 25346771167
BaseRepresentation
bin111101010111011…
…1110010001100000
312022111121211220000
41322232332101200
513204114242143
6540154220000
7102012231156
oct17256762140
95274554800
102059134048
11967366984
12495724600
1326a7b011a
1415768d3d6
15c0b93bd3
hex7abbe460

2059134048 has 240 divisors, whose sum is σ = 6270130944. Its totient is φ = 662618880.

The previous prime is 2059134017. The next prime is 2059134059. The reversal of 2059134048 is 8404319502.

2059134048 is a `hidden beast` number, since 20 + 591 + 3 + 4 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 12330061 + ... + 12330227.

Almost surely, 22059134048 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 2059134048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135065472).

2059134048 is an abundant number, since it is smaller than the sum of its proper divisors (4210996896).

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

2059134048 is a wasteful number, since it uses less digits than its factorization.

2059134048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2059134048 is about 45377.6822678285. The cubic root of 2059134048 is about 1272.2180117600.

The spelling of 2059134048 in words is "two billion, fifty-nine million, one hundred thirty-four thousand, forty-eight".