Search a number
-
+
39006894514068 = 22321383348065201
BaseRepresentation
bin10001101111010000000000…
…00101110101111110010100
312010010000121112202012010100
420313220000011311332110
520103042104443422233
6214543304151054100
711134104131512545
oct1067500005657624
9163100545665110
1039006894514068
1111479805055698
12445b96a071330
13189c4467c0360
1498bd2d9b04cc
154799d38d4813
hex237a00175f94

39006894514068 has 36 divisors (see below), whose sum is σ = 106185435067348. Its totient is φ = 12002121388800.

The previous prime is 39006894514031. The next prime is 39006894514073. The reversal of 39006894514068 is 86041549860093.

39006894514068 is a `hidden beast` number, since 3 + 9 + 0 + 0 + 6 + 89 + 451 + 40 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2388081896964 + 36618812617104 = 1545342^2 + 6051348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 39006894513996 and 39006894514014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41674032133 + ... + 41674033068.

Almost surely, 239006894514068 is an apocalyptic number.

It is an amenable number.

39006894514068 is an abundant number, since it is smaller than the sum of its proper divisors (67178540553280).

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

39006894514068 is a wasteful number, since it uses less digits than its factorization.

39006894514068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83348065224 (or 83348065219 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 39006894514068 in words is "thirty-nine trillion, six billion, eight hundred ninety-four million, five hundred fourteen thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 83348065201 166696130402 250044195603 333392260804 500088391206 750132586809 1000176782412 1083524847613 1500265173618 2167049695226 3000530347236 3250574542839 4334099390452 6501149085678 9751723628517 13002298171356 19503447257034 39006894514068