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5974380864 = 263280912821
BaseRepresentation
bin1011001000001100…
…11101000101000000
3120102100211222211100
411210012131011000
544213420141424
62424455414400
7301023254004
oct54406350500
916370758740
105974380864
112596422851
1211a8984400
13742998b0a
14409660704
1524e776dc9
hex16419d140

5974380864 has 84 divisors (see below), whose sum is σ = 17146988820. Its totient is φ = 1988843520.

The previous prime is 5974380829. The next prime is 5974380869. The reversal of 5974380864 is 4680834795.

5974380864 is a `hidden beast` number, since 597 + 43 + 8 + 0 + 8 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2642782464 + 3331598400 = 51408^2 + 57720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5974380864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5974380869) 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, 459574 + ... + 472394.

Almost surely, 25974380864 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 5974380864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8573494410).

5974380864 is an abundant number, since it is smaller than the sum of its proper divisors (11172607956).

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

5974380864 is a wasteful number, since it uses less digits than its factorization.

5974380864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13648 (or 13635 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 5974380864 is about 77294.1192070910. The cubic root of 5974380864 is about 1814.5306219707.

The spelling of 5974380864 in words is "five billion, nine hundred seventy-four million, three hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 809 1618 2427 3236 4854 6472 7281 9708 12821 12944 14562 19416 25642 25888 29124 38463 38832 51284 51776 58248 76926 77664 102568 115389 116496 153852 155328 205136 230778 232992 307704 410272 461556 465984 615408 820544 923112 1230816 1846224 2461632 3692448 7384896 10372189 20744378 31116567 41488756 62233134 82977512 93349701 124466268 165955024 186699402 248932536 331910048 373398804 497865072 663820096 746797608 995730144 1493595216 1991460288 2987190432 5974380864