Search a number
-
+
8148244104 = 233272111331521
BaseRepresentation
bin1111001011010110…
…00101011010001000
3210000212100200120200
413211223011122020
5113141422302404
63424313052200
7405630634500
oct74553053210
923025320520
108148244104
113501520440
1216b49b7060
139cb178a20
14574256a00
1532a52e839
hex1e5ac5688

8148244104 has 576 divisors, whose sum is σ = 31191713280. Its totient is φ = 1886976000.

The previous prime is 8148244099. The next prime is 8148244129. The reversal of 8148244104 is 4014428418.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15639364 + ... + 15639884.

It is an arithmetic number, because the mean of its divisors is an integer number (54152280).

Almost surely, 28148244104 is an apocalyptic number.

8148244104 is a gapful number since it is divisible by the number (84) 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 8148244104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15595856640).

8148244104 is an abundant number, since it is smaller than the sum of its proper divisors (23043469176).

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

8148244104 is a wasteful number, since it uses less digits than its factorization.

8148244104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 8148244104 is about 90267.6248939785. The cubic root of 8148244104 is about 2012.2781446680.

It can be divided in two parts, 8148 and 244104, that added together give a palindrome (252252).

The spelling of 8148244104 in words is "eight billion, one hundred forty-eight million, two hundred forty-four thousand, one hundred four".