Search a number
-
+
32428881009 = 3371959269569
BaseRepresentation
bin11110001100111010…
…010111010001110001
310002201000122211202000
4132030322113101301
51012403243143014
622521515244213
72225421640410
oct361472272161
9102630584660
1032428881009
1112831292308
126350449669
13309a6535b5
1417d8c65477
15c9bea7509
hex78ce97471

32428881009 has 128 divisors (see below), whose sum is σ = 59097600000. Its totient is φ = 17163560448.

The previous prime is 32428880959. The next prime is 32428881011. The reversal of 32428881009 is 90018882423.

It is not a de Polignac number, because 32428881009 - 224 = 32412103793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32428881209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56992477 + ... + 56993045.

It is an arithmetic number, because the mean of its divisors is an integer number (461700000).

Almost surely, 232428881009 is an apocalyptic number.

It is an amenable number.

32428881009 is a deficient number, since it is larger than the sum of its proper divisors (26668718991).

32428881009 is a wasteful number, since it uses less digits than its factorization.

32428881009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 32428881009 in words is "thirty-two billion, four hundred twenty-eight million, eight hundred eighty-one thousand, nine".

Divisors: 1 3 7 9 19 21 27 57 59 63 133 171 177 189 269 399 413 513 531 569 807 1121 1197 1239 1593 1707 1883 2421 3363 3591 3717 3983 5111 5121 5649 7263 7847 10089 10811 11151 11949 15333 15363 15871 16947 23541 30267 32433 33571 35777 35847 45999 47613 50841 70623 75677 97299 100713 107331 107541 111097 137997 142839 153061 211869 227031 234997 291897 301549 302139 321993 333291 428517 459183 637849 681093 704991 904647 906417 965979 999873 1071427 1377549 1913547 2043279 2110843 2114973 2713941 2908159 2999619 3214281 4132647 4464943 5740641 6332529 6344919 8141823 8724477 9030599 9642843 13394829 17221923 18997587 20357113 26173431 27091797 28928529 40184487 56992761 61071339 63214193 78520293 81275391 120553461 171581381 183214017 189642579 243826173 514744143 549642051 568927737 1201069667 1544232429 1706783211 3603209001 4632697287 10809627003 32428881009