Search a number
-
+
38846576965 = 572227698491
BaseRepresentation
bin100100001011011011…
…111011100101000101
310201021021200120112211
4210023123323211011
51114024210430330
625502412543421
72543440312300
oct441333734505
9121237616484
1038846576965
1115524975269
127641781b71
133881118421
141c47323b37
1510255ebd2a
hex90b6fb945

38846576965 has 24 divisors (see below), whose sum is σ = 54465612192. Its totient is φ = 26520268320.

The previous prime is 38846576959. The next prime is 38846577013. The reversal of 38846576965 is 56967564883.

It is not a de Polignac number, because 38846576965 - 25 = 38846576933 is a prime.

It is a super-2 number, since 2×388465769652 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38846576965.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 293631 + ... + 404860.

It is an arithmetic number, because the mean of its divisors is an integer number (2269400508).

Almost surely, 238846576965 is an apocalyptic number.

38846576965 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38846576965 is a deficient number, since it is larger than the sum of its proper divisors (15619035227).

38846576965 is a wasteful number, since it uses less digits than its factorization.

38846576965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698737 (or 698730 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 67.

The spelling of 38846576965 in words is "thirty-eight billion, eight hundred forty-six million, five hundred seventy-six thousand, nine hundred sixty-five".

Divisors: 1 5 7 35 49 227 245 1135 1589 7945 11123 55615 698491 3492455 4889437 24447185 34226059 158557457 171130295 792787285 1109902199 5549510995 7769315393 38846576965