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5705378064 = 2432192085299
BaseRepresentation
bin1010101000001000…
…10010100100010000
3112201121200020100200
411110010102210100
543141034044224
62342050015200
7261245625201
oct52404224420
915647606320
105705378064
11246859aa91
121132877500
136cc031b69
143c1a395a8
15235d3c5c9
hex154112910

5705378064 has 60 divisors (see below), whose sum is σ = 16807518000. Its totient is φ = 1801697472.

The previous prime is 5705378053. The next prime is 5705378069. The reversal of 5705378064 is 4608735075.

5705378064 is a `hidden beast` number, since 57 + 0 + 537 + 8 + 0 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (5705378069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1039914 + ... + 1045385.

It is an arithmetic number, because the mean of its divisors is an integer number (280125300).

Almost surely, 25705378064 is an apocalyptic number.

It is an amenable number.

5705378064 is an abundant number, since it is smaller than the sum of its proper divisors (11102139936).

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

5705378064 is a wasteful number, since it uses less digits than its factorization.

5705378064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085332 (or 2085323 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 5705378064 is about 75533.9530542391. The cubic root of 5705378064 is about 1786.8776193951.

The spelling of 5705378064 in words is "five billion, seven hundred five million, three hundred seventy-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 2085299 4170598 6255897 8341196 12511794 16682392 18767691 25023588 33364784 37535382 39620681 50047176 75070764 79241362 100094352 118862043 150141528 158482724 237724086 300283056 316965448 356586129 475448172 633930896 713172258 950896344 1426344516 1901792688 2852689032 5705378064