Search a number
-
+
38279697249 = 3172356475779
BaseRepresentation
bin100011101001101001…
…011101001101100001
310122210210000002202210
4203221221131031201
51111344100302444
625330242432333
72523415025613
oct435151351541
9118723002683
1038279697249
1115263989132
1275039626a9
1337c0847b41
141bd1d1cdb3
15ee09727b9
hex8e9a5d361

38279697249 has 32 divisors (see below), whose sum is σ = 56411320320. Its totient is φ = 22966301952.

The previous prime is 38279697227. The next prime is 38279697251. The reversal of 38279697249 is 94279697283.

38279697249 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 38279697249 - 215 = 38279664481 is a prime.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 38279697249.

It is not an unprimeable number, because it can be changed into a prime (38279697259) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6621042 + ... + 6626820.

It is an arithmetic number, because the mean of its divisors is an integer number (1762853760).

Almost surely, 238279697249 is an apocalyptic number.

It is an amenable number.

38279697249 is a deficient number, since it is larger than the sum of its proper divisors (18131623071).

38279697249 is a wasteful number, since it uses less digits than its factorization.

38279697249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11469.

The product of its digits is 82301184, while the sum is 66.

The spelling of 38279697249 in words is "thirty-eight billion, two hundred seventy-nine million, six hundred ninety-seven thousand, two hundred forty-nine".

Divisors: 1 3 17 23 51 69 391 1173 5647 5779 16941 17337 95999 98243 129881 132917 287997 294729 389643 398751 2207977 2259589 6623931 6778767 32634013 97902039 554778221 750582299 1664334663 2251746897 12759899083 38279697249