Search a number
-
+
38805496541 = 723161418799
BaseRepresentation
bin100100001000111111…
…001110001011011101
310201011102101110210122
4210020333032023131
51113433201342131
625454344244325
72542431164300
oct441077161335
9121142343718
1038805496541
11155037669a9
12762ba706a5
133875763b96
141c41aacb37
151021bd4d7b
hex908fce2dd

38805496541 has 24 divisors (see below), whose sum is σ = 47361254400. Its totient is φ = 31661128800.

The previous prime is 38805496517. The next prime is 38805496547. The reversal of 38805496541 is 14569450883.

It is not a de Polignac number, because 38805496541 - 218 = 38805234397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38805496547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116741 + ... + 302058.

It is an arithmetic number, because the mean of its divisors is an integer number (1973385600).

Almost surely, 238805496541 is an apocalyptic number.

38805496541 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

38805496541 is a deficient number, since it is larger than the sum of its proper divisors (8555757859).

38805496541 is a wasteful number, since it uses less digits than its factorization.

38805496541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418905 (or 418898 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 53.

The spelling of 38805496541 in words is "thirty-eight billion, eight hundred five million, four hundred ninety-six thousand, five hundred forty-one".

Divisors: 1 7 31 49 61 217 427 1519 1891 2989 13237 92659 418799 2931593 12982769 20521151 25546739 90879383 178827173 636155681 791948909 1251790211 5543642363 38805496541