Search a number
-
+
38994163200 = 2932522314717
BaseRepresentation
bin100100010100001110…
…111011011000000000
310201122120101201210200
4210110032323120000
51114330001210300
625525204125200
72550211626666
oct442416733000
9121576351720
1038994163200
11155a0208a63
127683096800
1338a5880765
141c5cb80c36
151033551200
hex9143bb600

38994163200 has 360 divisors, whose sum is σ = 145626603408. Its totient is φ = 9945661440.

The previous prime is 38994163189. The next prime is 38994163213. The reversal of 38994163200 is 236149983.

It is a happy number.

38994163200 is a `hidden beast` number, since 3 + 8 + 9 + 9 + 4 + 1 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2642242 + ... + 2656958.

Almost surely, 238994163200 is an apocalyptic number.

38994163200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38994163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72813301704).

38994163200 is an abundant number, since it is smaller than the sum of its proper divisors (106632440208).

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

38994163200 is a wasteful number, since it uses less digits than its factorization.

38994163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14774 (or 14750 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 38994163200 in words is "thirty-eight billion, nine hundred ninety-four million, one hundred sixty-three thousand, two hundred".