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39242793105 = 325872062069
BaseRepresentation
bin100100100011000011…
…011000000010010001
310202021220020102220200
4210203003120002101
51120332123334410
630010005125413
72556321144345
oct444303300221
9122256212820
1039242793105
111570859631a
1277323b9869
133915233649
141c83bc1625
15104a2b43c0
hex9230d8091

39242793105 has 12 divisors (see below), whose sum is σ = 68020841460. Its totient is φ = 20929489632.

The previous prime is 39242793071. The next prime is 39242793119. The reversal of 39242793105 is 50139724293.

39242793105 is a `hidden beast` number, since 39 + 2 + 427 + 93 + 105 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4676918544 + 34565874561 = 68388^2 + 185919^2 .

It is not a de Polignac number, because 39242793105 - 217 = 39242662033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 872062069 = 39242793105 / (3 + 9 + 2 + 4 + 2 + 7 + 9 + 3 + 1 + 0 + 5).

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, 436030990 + ... + 436031079.

It is an arithmetic number, because the mean of its divisors is an integer number (5668403455).

Almost surely, 239242793105 is an apocalyptic number.

It is an amenable number.

39242793105 is a deficient number, since it is larger than the sum of its proper divisors (28778048355).

39242793105 is a wasteful number, since it uses less digits than its factorization.

39242793105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872062080 (or 872062077 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 39242793105 in words is "thirty-nine billion, two hundred forty-two million, seven hundred ninety-three thousand, one hundred five".

Divisors: 1 3 5 9 15 45 872062069 2616186207 4360310345 7848558621 13080931035 39242793105