Search a number
-
+
38516810049 = 32654192
BaseRepresentation
bin100011110111110001…
…111110000101000001
310200102022011200101100
4203313301332011001
51112340300410144
625405552525013
72532324324564
oct436761760501
9120368150340
1038516810049
111537580a523
12756b250769
13382a9c7783
141c156024db
1510066ad269
hex8f7c7e141

38516810049 has 9 divisors (see below), whose sum is σ = 55636242753. Its totient is φ = 25677480852.

The previous prime is 38516810041. The next prime is 38516810077. The reversal of 38516810049 is 94001861583.

The square root of 38516810049 is 196257.

It is a perfect power (a square), and thus also a powerful number.

38516810049 is a `hidden beast` number, since 385 + 168 + 100 + 4 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 38516810049 - 23 = 38516810041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38516809986 and 38516810013.

It is not an unprimeable number, because it can be changed into a prime (38516810041) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 556062 + ... + 621480.

Almost surely, 238516810049 is an apocalyptic number.

38516810049 is the 196257-th square number.

38516810049 is the 98129-th centered octagonal number.

It is an amenable number.

38516810049 is a deficient number, since it is larger than the sum of its proper divisors (17119432704).

38516810049 is an frugal number, since it uses more digits than its factorization.

38516810049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130844 (or 65422 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 38516810049 in words is "thirty-eight billion, five hundred sixteen million, eight hundred ten thousand, forty-nine".

Divisors: 1 3 9 65419 196257 588771 4279645561 12838936683 38516810049