Search a number
-
+
38676112114757 = 134172563062129
BaseRepresentation
bin10001100101100111110111…
…11011001000010001000101
312001221101210202022020220212
420302303323323020101011
520032132134200133012
6214131321032205205
711101154053511615
oct1062637373102105
9161841722266825
1038676112114757
11113614a1006167
124407833839805
1318771ac499ab0
14979d1055aa45
154710c3a9eb22
hex232cfbec8445

38676112114757 has 8 divisors (see below), whose sum is σ = 42667080532440. Its totient is φ = 34830269821440.

The previous prime is 38676112114747. The next prime is 38676112114769. The reversal of 38676112114757 is 75741121167683.

38676112114757 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 4047053569441 + 34629058545316 = 2011729^2 + 5884646^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 38676112114757 - 210 = 38676112113733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38676112114696 and 38676112114705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38676112114747) 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, 36281530532 + ... + 36281531597.

It is an arithmetic number, because the mean of its divisors is an integer number (5333385066555).

Almost surely, 238676112114757 is an apocalyptic number.

It is an amenable number.

38676112114757 is a deficient number, since it is larger than the sum of its proper divisors (3990968417683).

38676112114757 is a wasteful number, since it uses less digits than its factorization.

38676112114757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72563062183.

The product of its digits is 11854080, while the sum is 59.

The spelling of 38676112114757 in words is "thirty-eight trillion, six hundred seventy-six billion, one hundred twelve million, one hundred fourteen thousand, seven hundred fifty-seven".

Divisors: 1 13 41 533 72563062129 943319807677 2975085547289 38676112114757