Search a number
-
+
32863480065 = 32513893371873
BaseRepresentation
bin11110100110110100…
…001110100100000001
310010211022102202120100
4132212310032210001
51014301022330230
623033002233013
72242246654143
oct364664164401
9103738382510
1032863480065
1112a34639a89
126451ab5769
1331396ba2c0
14183a874c93
15cc5202660
hex7a6d0e901

32863480065 has 96 divisors (see below), whose sum is σ = 62251731360. Its totient is φ = 15941173248.

The previous prime is 32863480049. The next prime is 32863480109. The reversal of 32863480065 is 56008436823.

It is a happy number.

32863480065 is a `hidden beast` number, since 3 + 2 + 8 + 634 + 8 + 0 + 0 + 6 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 29702454336 + 3161025729 = 172344^2 + 56223^2 .

It is not a de Polignac number, because 32863480065 - 24 = 32863480049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 32863480065.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17544969 + ... + 17546841.

It is an arithmetic number, because the mean of its divisors is an integer number (648455535).

Almost surely, 232863480065 is an apocalyptic number.

It is an amenable number.

32863480065 is a deficient number, since it is larger than the sum of its proper divisors (29388251295).

32863480065 is a wasteful number, since it uses less digits than its factorization.

32863480065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 32863480065 in words is "thirty-two billion, eight hundred sixty-three million, four hundred eighty thousand, sixty-five".

Divisors: 1 3 5 9 13 15 39 45 65 89 117 195 267 337 445 585 801 1011 1157 1335 1685 1873 3033 3471 4005 4381 5055 5619 5785 9365 10413 13143 15165 16857 17355 21905 24349 28095 29993 39429 52065 65715 73047 84285 89979 121745 149965 166697 197145 219141 269937 365235 389909 449895 500091 631201 833485 1095705 1169727 1349685 1500273 1893603 1949545 2167061 2500455 3156005 3509181 5680809 5848635 6501183 7501365 8205613 9468015 10835305 17545905 19503549 24616839 28404045 32505915 41028065 56176889 73850517 97517745 123084195 168530667 280884445 369252585 505592001 730299557 842653335 2190898671 2527960005 3651497785 6572696013 10954493355 32863480065