Search a number
-
+
108629259648 = 27371313722691
BaseRepresentation
bin110010100101011001…
…1101111010110000000
3101101101120010011002220
41211022303233112000
53234433042302043
6121523102011040
710563635320620
oct1451263572600
9341346104086
10108629259648
1142084426648
1219077876a80
13a322524440
14538712a880
152c5bad2483
hex194acef580

108629259648 has 256 divisors, whose sum is σ = 357742103040. Its totient is φ = 28439101440.

The previous prime is 108629259637. The next prime is 108629259649. The reversal of 108629259648 is 846952926801.

It is a junction number, because it is equal to n+sod(n) for n = 108629259591 and 108629259600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108629259649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4775983 + ... + 4798673.

It is an arithmetic number, because the mean of its divisors is an integer number (1397430090).

Almost surely, 2108629259648 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 108629259648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178871051520).

108629259648 is an abundant number, since it is smaller than the sum of its proper divisors (249112843392).

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

108629259648 is a wasteful number, since it uses less digits than its factorization.

108629259648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22865 (or 22853 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 108629259648 in words is "one hundred eight billion, six hundred twenty-nine million, two hundred fifty-nine thousand, six hundred forty-eight".