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5705350506 = 23444978437
BaseRepresentation
bin1010101000001000…
…01011110101101010
3112201121121211120000
411110010023311222
543141032204011
62342045243430
7261245451642
oct52404136552
915647554500
105705350506
112468581309
121132863576
136cc02245b
143c1a2d522
15235d34356
hex15410bd6a

5705350506 has 40 divisors (see below), whose sum is σ = 12812847300. Its totient is φ = 1897523712.

The previous prime is 5705350489. The next prime is 5705350517. The reversal of 5705350506 is 6050535075.

5705350506 is a `hidden beast` number, since 5 + 70 + 535 + 0 + 50 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5648875281 + 56475225 = 75159^2 + 7515^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33520 + ... + 111956.

Almost surely, 25705350506 is an apocalyptic number.

5705350506 is an abundant number, since it is smaller than the sum of its proper divisors (7107496794).

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

5705350506 is a wasteful number, since it uses less digits than its factorization.

5705350506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78900 (or 78891 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 36.

The square root of 5705350506 is about 75533.7706327441. The cubic root of 5705350506 is about 1786.8747424106.

The spelling of 5705350506 in words is "five billion, seven hundred five million, three hundred fifty thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 449 898 1347 2694 4041 8082 12123 24246 36369 72738 78437 156874 235311 470622 705933 1411866 2117799 4235598 6353397 12706794 35218213 70436426 105654639 211309278 316963917 633927834 950891751 1901783502 2852675253 5705350506