Search a number
-
+
42728197264 = 2431216672
BaseRepresentation
bin100111110010110011…
…001000110010010000
311002021210122022120121
4213302303020302100
51200001404303024
631343513320024
73041562453454
oct476263106220
9132253568517
1042728197264
1117136a54025
128345706014
13404c35c57c
1420d4a60664
1511a128b8e4
hex9f2cc8c90

42728197264 has 45 divisors (see below), whose sum is σ = 85593886131. Its totient is φ = 20662531680.

The previous prime is 42728197201. The next prime is 42728197279. The reversal of 42728197264 is 46279182724.

The square root of 42728197264 is 206708.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25630959 + ... + 25632625.

Almost surely, 242728197264 is an apocalyptic number.

42728197264 is the 206708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42728197264

42728197264 is an abundant number, since it is smaller than the sum of its proper divisors (42865688867).

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

42728197264 is an frugal number, since it uses more digits than its factorization.

42728197264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 1700 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 52.

The spelling of 42728197264 in words is "forty-two billion, seven hundred twenty-eight million, one hundred ninety-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1667 1922 3334 3844 6668 7688 13336 15376 26672 51677 103354 206708 413416 826832 1601987 2778889 3203974 5557778 6407948 11115556 12815896 22231112 25631792 44462224 86145559 172291118 344582236 689164472 1378328944 2670512329 5341024658 10682049316 21364098632 42728197264