Search a number
-
+
38107727775 = 365213413923
BaseRepresentation
bin100011011111011001…
…011100011110011111
310122100210102011000000
4203133121130132133
51111021034242100
625301220505343
72516226225105
oct433731343637
9118323364000
1038107727775
11151859009a7
12747624b253
133794026260
141bb7155c75
15ed0803900
hex8df65c79f

38107727775 has 168 divisors, whose sum is σ = 78178652496. Its totient is φ = 18298483200.

The previous prime is 38107727773. The next prime is 38107727851. The reversal of 38107727775 is 57772770183.

It is not a de Polignac number, because 38107727775 - 21 = 38107727773 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38107727773) 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 167 ways as a sum of consecutive naturals, for example, 9711964 + ... + 9715886.

It is an arithmetic number, because the mean of its divisors is an integer number (465349122).

Almost surely, 238107727775 is an apocalyptic number.

38107727775 is an abundant number, since it is smaller than the sum of its proper divisors (40070924721).

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

38107727775 is a wasteful number, since it uses less digits than its factorization.

38107727775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 4033680, while the sum is 54.

The spelling of 38107727775 in words is "thirty-eight billion, one hundred seven million, seven hundred twenty-seven thousand, seven hundred seventy-five".