Search a number
-
+
5663692832 = 25731992593
BaseRepresentation
bin1010100011001010…
…10001100000100000
3112121201020101222012
411101211101200200
543044401132312
62334000332052
7260231411000
oct52145214040
915551211865
105663692832
112447009286
121120914028
136c34c8245
143ba2a8000
15232356322
hex151951820

5663692832 has 96 divisors (see below), whose sum is σ = 13073760000. Its totient is φ = 2414168064.

The previous prime is 5663692831. The next prime is 5663692847. The reversal of 5663692832 is 2382963665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5663692831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2182928 + ... + 2185520.

It is an arithmetic number, because the mean of its divisors is an integer number (136185000).

Almost surely, 25663692832 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 5663692832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6536880000).

5663692832 is an abundant number, since it is smaller than the sum of its proper divisors (7410067168).

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

5663692832 is a wasteful number, since it uses less digits than its factorization.

5663692832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2801 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 50.

The square root of 5663692832 is about 75257.5101368628. The cubic root of 5663692832 is about 1782.5151533129.

The spelling of 5663692832 in words is "five billion, six hundred sixty-three million, six hundred ninety-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 199 224 343 392 398 686 784 796 1372 1393 1568 1592 2593 2744 2786 3184 5186 5488 5572 6368 9751 10372 10976 11144 18151 19502 20744 22288 36302 39004 41488 44576 68257 72604 78008 82976 127057 136514 145208 156016 254114 273028 290416 312032 508228 516007 546056 580832 889399 1016456 1032014 1092112 1778798 2032912 2064028 2184224 3557596 3612049 4065824 4128056 7115192 7224098 8256112 14230384 14448196 16512224 25284343 28460768 28896392 50568686 57792784 101137372 115585568 176990401 202274744 353980802 404549488 707961604 809098976 1415923208 2831846416 5663692832