Search a number
-
+
38781568381117 = 1715030115178001
BaseRepresentation
bin10001101000101100010011…
…00110110111000010111101
312002022111000011212122111211
420310112021212313002331
520040344123001143432
6214252001230044421
711111606263133332
oct1064261146670275
9162274004778454
1038781568381117
11113a2197354a01
124424164949711
13188411751a0c3
149810760cc989
15473be6d1ad47
hex2345899b70bd

38781568381117 has 8 divisors (see below), whose sum is σ = 41063113018872. Its totient is φ = 36500054400000.

The previous prime is 38781568381097. The next prime is 38781568381181. The reversal of 38781568381117 is 71118386518783.

38781568381117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9277269231321 + 29504299149796 = 3045861^2 + 5431786^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38781568381117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38781568381417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5033884 + ... + 10144117.

It is an arithmetic number, because the mean of its divisors is an integer number (5132889127359).

Almost surely, 238781568381117 is an apocalyptic number.

It is an amenable number.

38781568381117 is a deficient number, since it is larger than the sum of its proper divisors (2281544637755).

38781568381117 is a wasteful number, since it uses less digits than its factorization.

38781568381117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15328319.

The product of its digits is 54190080, while the sum is 67.

The spelling of 38781568381117 in words is "thirty-eight trillion, seven hundred eighty-one billion, five hundred sixty-eight million, three hundred eighty-one thousand, one hundred seventeen".

Divisors: 1 17 150301 2555117 15178001 258026017 2281268728301 38781568381117