Search a number
-
+
38616432648 = 2332396732293
BaseRepresentation
bin100011111101101110…
…000000000000001000
310200200020122000220020
4203331232000000020
51113041301321043
625423512100440
72534644155513
oct437556000010
9120606560806
1038616432648
1115416a73452
127598694720
133845538561
141c24935d7a
1510102dae83
hex8fdb80008

38616432648 has 32 divisors (see below), whose sum is σ = 96945033600. Its totient is φ = 12818283968.

The previous prime is 38616432593. The next prime is 38616432667. The reversal of 38616432648 is 84623461683.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 38616432648.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3360411 + ... + 3371882.

It is an arithmetic number, because the mean of its divisors is an integer number (3029532300).

Almost surely, 238616432648 is an apocalyptic number.

It is an amenable number.

38616432648 is an abundant number, since it is smaller than the sum of its proper divisors (58328600952).

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

38616432648 is a wasteful number, since it uses less digits than its factorization.

38616432648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6732541 (or 6732537 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 51.

The spelling of 38616432648 in words is "thirty-eight billion, six hundred sixteen million, four hundred thirty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 239 478 717 956 1434 1912 2868 5736 6732293 13464586 20196879 26929172 40393758 53858344 80787516 161575032 1609018027 3218036054 4827054081 6436072108 9654108162 12872144216 19308216324 38616432648