Search a number
-
+
36560566146 = 23131796728513
BaseRepresentation
bin100010000011001011…
…011111011110000010
310111100222011012020110
4202003023133132002
51044334001104041
624443511452150
72433001453566
oct420313373602
9114328135213
1036560566146
1114561539525
127104087056
1335a86307c0
141aab8976a6
15e3ea90516
hex8832df782

36560566146 has 64 divisors (see below), whose sum is σ = 83467093248. Its totient is φ = 10576355328.

The previous prime is 36560566117. The next prime is 36560566151. The reversal of 36560566146 is 64166506563.

It is a junction number, because it is equal to n+sod(n) for n = 36560566095 and 36560566104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1267986 + ... + 1296498.

It is an arithmetic number, because the mean of its divisors is an integer number (1304173332).

Almost surely, 236560566146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36560566146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41733546624).

36560566146 is an abundant number, since it is smaller than the sum of its proper divisors (46906527102).

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

36560566146 is a wasteful number, since it uses less digits than its factorization.

36560566146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29515.

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 36560566146 in words is "thirty-six billion, five hundred sixty million, five hundred sixty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 967 1326 1934 2901 5802 12571 16439 25142 28513 32878 37713 49317 57026 75426 85539 98634 171078 213707 370669 427414 484721 641121 741338 969442 1112007 1282242 1454163 2224014 2908326 6301373 12602746 18904119 27572071 37808238 55144142 82716213 165432426 358436923 468725207 716873846 937450414 1075310769 1406175621 2150621538 2812351242 6093427691 12186855382 18280283073 36560566146