Search a number
-
+
195825135660 = 2235721131195329
BaseRepresentation
bin1011011001100000010…
…1100111000000101100
3200201110101112121021020
42312120011213000230
511202022213320120
6225543312134140
720101505121600
oct2663005470054
9621411477236
10195825135660
117605a2028a0
1231b51537350
131560a40434b
14969984d500
155161bac640
hex2d9816702c

195825135660 has 288 divisors, whose sum is σ = 718264350720. Its totient is φ = 39378124800.

The previous prime is 195825135601. The next prime is 195825135677. The reversal of 195825135660 is 66531528591.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 904876 + ... + 1100204.

It is an arithmetic number, because the mean of its divisors is an integer number (2493973440).

Almost surely, 2195825135660 is an apocalyptic number.

195825135660 is a gapful number since it is divisible by the number (10) 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 195825135660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359132175360).

195825135660 is an abundant number, since it is smaller than the sum of its proper divisors (522439215060).

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

195825135660 is a wasteful number, since it uses less digits than its factorization.

195825135660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195397 (or 195388 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 51.

The spelling of 195825135660 in words is "one hundred ninety-five billion, eight hundred twenty-five million, one hundred thirty-five thousand, six hundred sixty".