Search a number
-
+
43233632052 = 223132311076427
BaseRepresentation
bin101000010000111011…
…001101111100110100
311010121000201001202120
4220100323031330310
51202020302211202
631510010435540
73060240544332
oct502073157464
9133530631676
1043233632052
1117376292726
128466a32bb0
1340ccc98300
142141c2cb52
1511d082a0bc
hexa10ecdf34

43233632052 has 144 divisors (see below), whose sum is σ = 113830520832. Its totient is φ = 12751240320.

The previous prime is 43233632033. The next prime is 43233632089. The reversal of 43233632052 is 25023633234.

43233632052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6723663 + ... + 6730089.

It is an arithmetic number, because the mean of its divisors is an integer number (790489728).

Almost surely, 243233632052 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 43233632052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56915260416).

43233632052 is an abundant number, since it is smaller than the sum of its proper divisors (70596888780).

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

43233632052 is a wasteful number, since it uses less digits than its factorization.

43233632052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6598 (or 6583 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 33.

The spelling of 43233632052 in words is "forty-three billion, two hundred thirty-three million, six hundred thirty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 107 124 156 169 186 214 321 338 372 403 428 507 642 676 806 1014 1209 1284 1391 1612 2028 2418 2782 3317 4173 4836 5239 5564 6427 6634 8346 9951 10478 12854 13268 15717 16692 18083 19281 19902 20956 25708 31434 36166 38562 39804 43121 54249 62868 72332 77124 83551 86242 108498 129363 167102 172484 199237 216996 250653 258726 334204 398474 501306 517452 560573 597711 687689 796948 1002612 1086163 1121146 1195422 1375378 1681719 2063067 2172326 2242292 2390844 2590081 2750756 3258489 3363438 4126134 4344652 5180162 6516978 6726876 7770243 8252268 8939957 10360324 13033956 15540486 17879914 21318359 26819871 31080972 33671053 35759828 42636718 53639742 63955077 67342106 85273436 101013159 107279484 116219441 127910154 134684212 202026318 232438882 255820308 277138667 348658323 404052636 464877764 554277334 697316646 831416001 1108554668 1394633292 1662832002 3325664004 3602802671 7205605342 10808408013 14411210684 21616816026 43233632052