Search a number
-
+
195150838896 = 2437131967337
BaseRepresentation
bin1011010110111111100…
…1010111110001110000
3200122201101201210000000
42311233321113301300
511144132103321041
6225352343430000
720046006522036
oct2655771276160
9618641653000
10195150838896
1175843619742
12319a3755300
13155307c4290
149634086556
1551228b5bb6
hex2d6fe57c70

195150838896 has 640 divisors, whose sum is σ = 654363673600. Its totient is φ = 55870746624.

The previous prime is 195150838879. The next prime is 195150838901. The reversal of 195150838896 is 698838051591.

195150838896 is a `hidden beast` number, since 1 + 9 + 5 + 1 + 508 + 38 + 8 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 579082440 + ... + 579082776.

It is an arithmetic number, because the mean of its divisors is an integer number (1022443240).

Almost surely, 2195150838896 is an apocalyptic number.

195150838896 is a gapful number since it is divisible by the number (16) 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 195150838896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327181836800).

195150838896 is an abundant number, since it is smaller than the sum of its proper divisors (459212834704).

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

195150838896 is a wasteful number, since it uses less digits than its factorization.

195150838896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 63.

The spelling of 195150838896 in words is "one hundred ninety-five billion, one hundred fifty million, eight hundred thirty-eight thousand, eight hundred ninety-six".