Search a number
-
+
39106646145 = 3257124148083
BaseRepresentation
bin100100011010111100…
…000001000010000001
310201221102001110101200
4210122330001002001
51120042300134040
625544303051413
72553046002420
oct443274010201
9121842043350
1039106646145
1115648756076
1276b48a0b69
1338c2c75008
141c6daa12b7
15103d36e630
hex91af01081

39106646145 has 24 divisors (see below), whose sum is σ = 77468404416. Its totient is φ = 17877323808.

The previous prime is 39106646129. The next prime is 39106646179. The reversal of 39106646145 is 54164660193.

39106646145 is a `hidden beast` number, since 3 + 91 + 0 + 66 + 461 + 45 = 666.

It is not a de Polignac number, because 39106646145 - 24 = 39106646129 is a prime.

It is a super-2 number, since 2×391066461452 (a number of 22 digits) contains 22 as substring.

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 39106646145.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62073727 + ... + 62074356.

It is an arithmetic number, because the mean of its divisors is an integer number (3227850184).

Almost surely, 239106646145 is an apocalyptic number.

39106646145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

39106646145 is a deficient number, since it is larger than the sum of its proper divisors (38361758271).

39106646145 is a wasteful number, since it uses less digits than its factorization.

39106646145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124148101 (or 124148098 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 39106646145 in words is "thirty-nine billion, one hundred six million, six hundred forty-six thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 124148083 372444249 620740415 869036581 1117332747 1862221245 2607109743 4345182905 5586663735 7821329229 13035548715 39106646145