Search a number
-
+
38285166276 = 22327221703609
BaseRepresentation
bin100011101001111110…
…010100011011000100
310122211011021221212100
4203221332110123010
51111402000310101
625330555552100
72523512354400
oct435176243304
9118734257770
1038285166276
1115266a84095
12750575b630
1337c1a11256
141bd2944100
15ee11a2e86
hex8e9f946c4

38285166276 has 54 divisors (see below), whose sum is σ = 112576625070. Its totient is φ = 10938618432.

The previous prime is 38285166233. The next prime is 38285166299. The reversal of 38285166276 is 67266158283.

38285166276 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 5 + 1 + 6 + 627 + 6 = 666.

38285166276 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 only one way, i.e., 33609888900 + 4675277376 = 183330^2 + 68376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10850041 + ... + 10853568.

Almost surely, 238285166276 is an apocalyptic number.

38285166276 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38285166276 is an abundant number, since it is smaller than the sum of its proper divisors (74291458794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38285166276 is a wasteful number, since it uses less digits than its factorization.

38285166276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21703633 (or 21703621 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 38285166276 in words is "thirty-eight billion, two hundred eighty-five million, one hundred sixty-six thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 21703609 43407218 65110827 86814436 130221654 151925263 195332481 260443308 303850526 390664962 455775789 607701052 781329924 911551578 1063476841 1367327367 1823103156 2126953682 2734654734 3190430523 4253907364 5469309468 6380861046 9571291569 12761722092 19142583138 38285166276