Search a number
-
+
38746287130683 = 3113113775337341
BaseRepresentation
bin10001100111101010100101…
…01011100100100000111011
312002012002221100222102111210
420303311102223210200323
520034304344001140213
6214223444254254203
711106220054351026
oct1063652253444073
9162162840872453
1038746287130683
1111389231a762a0
1244193591b7363
1318809b3c61862
1497d48a4d01bd
15472d2e7320c3
hex233d52ae483b

38746287130683 has 16 divisors (see below), whose sum is σ = 56539452033792. Its totient is φ = 23407091508000.

The previous prime is 38746287130673. The next prime is 38746287130709. The reversal of 38746287130683 is 38603178264783.

38746287130683 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 38746287130683 - 26 = 38746287130619 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38746287130673) 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 15 ways as a sum of consecutive naturals, for example, 1887658408 + ... + 1887678933.

It is an arithmetic number, because the mean of its divisors is an integer number (3533715752112).

Almost surely, 238746287130683 is an apocalyptic number.

38746287130683 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

38746287130683 is a deficient number, since it is larger than the sum of its proper divisors (17793164903109).

38746287130683 is a wasteful number, since it uses less digits than its factorization.

38746287130683 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775337666.

The product of its (nonzero) digits is 195084288, while the sum is 66.

The spelling of 38746287130683 in words is "thirty-eight trillion, seven hundred forty-six billion, two hundred eighty-seven million, one hundred thirty thousand, six hundred eighty-three".

Divisors: 1 3 11 33 311 933 3421 10263 3775337341 11326012023 41528710751 124586132253 1174129913051 3522389739153 12915429043561 38746287130683