Search a number
-
+
38030251600 = 245211223127269
BaseRepresentation
bin100011011010110001…
…111001011001010000
310122011101121221200001
4203122301321121100
51110341221022400
625245412135344
72514265543045
oct433261713120
9118141557601
1038030251600
11151460a3a00
127454307554
133780c6a873
141baab491cc
15ec8aeca6a
hex8dac79650

38030251600 has 360 divisors, whose sum is σ = 106013214720. Its totient is φ = 13074969600.

The previous prime is 38030251561. The next prime is 38030251607. The reversal of 38030251600 is 615203083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38030251607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141376266 + ... + 141376534.

It is an arithmetic number, because the mean of its divisors is an integer number (294481152).

Almost surely, 238030251600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38030251600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53006607360).

38030251600 is an abundant number, since it is smaller than the sum of its proper divisors (67982963120).

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

38030251600 is a wasteful number, since it uses less digits than its factorization.

38030251600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 38030251600 its reverse (615203083), we get a palindrome (38645454683).

The spelling of 38030251600 in words is "thirty-eight billion, thirty million, two hundred fifty-one thousand, six hundred".