Search a number
-
+
195066362304 = 263211229233577
BaseRepresentation
bin1011010110101011011…
…1000111100111000000
3200122111111202220220100
42311222313013213000
511143443442043204
6225340125042400
720043632502432
oct2655267074700
9618444686810
10195066362304
11757aa970180
123197b3b6400
1315519157428
149626b76652
15511a27aa39
hex2d6adc79c0

195066362304 has 336 divisors, whose sum is σ = 616310903520. Its totient is φ = 58498744320.

The previous prime is 195066362297. The next prime is 195066362321. The reversal of 195066362304 is 403263660591.

195066362304 is a `hidden beast` number, since 1 + 9 + 5 + 0 + 6 + 636 + 2 + 3 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 195066362304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338069664 + ... + 338070240.

Almost surely, 2195066362304 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 195066362304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308155451760).

195066362304 is an abundant number, since it is smaller than the sum of its proper divisors (421244541216).

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

195066362304 is a wasteful number, since it uses less digits than its factorization.

195066362304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 195066362304 in words is "one hundred ninety-five billion, sixty-six million, three hundred sixty-two thousand, three hundred four".