Search a number
-
+
38786754825 = 365272132257
BaseRepresentation
bin100100000111110111…
…101110100100001001
310201010010010022000000
4210013313232210021
51113413402123300
625452434433213
72542112655600
oct440767564411
9121103108000
1038786754825
11154a4125a85
127625732809
133871901400
141c3d3d0a37
151020231c00
hex907dee909

38786754825 has 378 divisors, whose sum is σ = 91185861834. Its totient is φ = 16303472640.

The previous prime is 38786754781. The next prime is 38786754931. The reversal of 38786754825 is 52845768783.

38786754825 is a `hidden beast` number, since 3 + 8 + 7 + 8 + 67 + 548 + 25 = 666.

38786754825 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 9 ways, for example, as 12182861376 + 26603893449 = 110376^2 + 163107^2 .

It is not a de Polignac number, because 38786754825 - 215 = 38786722057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 377 ways as a sum of consecutive naturals, for example, 150921097 + ... + 150921353.

Almost surely, 238786754825 is an apocalyptic number.

38786754825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38786754825 is an abundant number, since it is smaller than the sum of its proper divisors (52399107009).

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

38786754825 is a wasteful number, since it uses less digits than its factorization.

38786754825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 285 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 63.

The spelling of 38786754825 in words is "thirty-eight billion, seven hundred eighty-six million, seven hundred fifty-four thousand, eight hundred twenty-five".