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38676111827157 = 3371675431221391
BaseRepresentation
bin10001100101100111110111…
…11010000010000011010101
312001221101210201202122102000
420302303323322002003111
520032132134111432112
6214131321022105513
711101154051203260
oct1062637372020325
9161841721678360
1038676111827157
11113614a092a082
12440783371b299
1318771ac3c8c0c
14979d104c3cd7
154710c3a447dc
hex232cfbe820d5

38676111827157 has 32 divisors (see below), whose sum is σ = 65483808399360. Its totient is φ = 22100485325040.

The previous prime is 38676111827153. The next prime is 38676111827261. The reversal of 38676111827157 is 75172811167683.

38676111827157 is a `hidden beast` number, since 3 + 8 + 6 + 7 + 611 + 1 + 8 + 2 + 7 + 1 + 5 + 7 = 666.

38676111827157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38676111827157 - 22 = 38676111827153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 38676111827094 and 38676111827103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38676111827153) 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 31 ways as a sum of consecutive naturals, for example, 31054932 + ... + 32276322.

It is an arithmetic number, because the mean of its divisors is an integer number (2046369012480).

Almost surely, 238676111827157 is an apocalyptic number.

It is an amenable number.

38676111827157 is a deficient number, since it is larger than the sum of its proper divisors (26807696572203).

38676111827157 is a wasteful number, since it uses less digits than its factorization.

38676111827157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388950 (or 1388944 counting only the distinct ones).

The product of its digits is 23708160, while the sum is 63.

The spelling of 38676111827157 in words is "thirty-eight trillion, six hundred seventy-six billion, one hundred eleven million, eight hundred twenty-seven thousand, one hundred fifty-seven".

Divisors: 1 3 7 9 21 27 63 189 167543 502629 1172801 1221391 1507887 3518403 3664173 4523661 8549737 10555209 10992519 25649211 31665627 32977557 76947633 230842899 204635512313 613906536939 1432448586191 1841719610817 4297345758573 5525158832451 12892037275719 38676111827157