Search a number
-
+
38853849649608 = 23347172937469583
BaseRepresentation
bin10001101010110010111011…
…11010000001000111001000
312002120101120120211112110000
420311121131322001013020
520043040141002241413
6214345113452323000
711120045420600460
oct1065313572010710
9162511516745400
1038853849649608
111141a909233834
124436177773460
13188ab9647b966
14984771a98ba0
15475a2784d073
hex23565de811c8

38853849649608 has 640 divisors, whose sum is σ = 139912740633600. Its totient is φ = 9815150370816.

The previous prime is 38853849649543. The next prime is 38853849649631. The reversal of 38853849649608 is 80694694835883.

It is a happy number.

38853849649608 is a `hidden beast` number, since 3 + 8 + 8 + 5 + 38 + 4 + 96 + 496 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 82506385 + ... + 82975967.

It is an arithmetic number, because the mean of its divisors is an integer number (218613657240).

Almost surely, 238853849649608 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 38853849649608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69956370316800).

38853849649608 is an abundant number, since it is smaller than the sum of its proper divisors (101058890983992).

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

38853849649608 is a wasteful number, since it uses less digits than its factorization.

38853849649608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469691 (or 469678 counting only the distinct ones).

The product of its (nonzero) digits is 8599633920, while the sum is 81.

The spelling of 38853849649608 in words is "thirty-eight trillion, eight hundred fifty-three billion, eight hundred forty-nine million, six hundred forty-nine thousand, six hundred eight".