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195305502240 = 25345192932707
BaseRepresentation
bin1011010111100100011…
…1010111011000100000
3200200010011202111020000
42311321013113120200
511144441202032430
6225415550420000
720052565243422
oct2657107273040
9620104674200
10195305502240
1175912956592
1231a27501600
1315556866954
14964a826812
155131266e60
hex2d791d7620

195305502240 has 480 divisors, whose sum is σ = 728288003520. Its totient is φ = 49153775616.

The previous prime is 195305502193. The next prime is 195305502241. The reversal of 195305502240 is 42205503591.

It is a happy number.

195305502240 is a `hidden beast` number, since 19 + 5 + 30 + 550 + 22 + 40 = 666.

195305502240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 195305502195 and 195305502204.

It is not an unprimeable number, because it can be changed into a prime (195305502241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72146967 + ... + 72149673.

It is an arithmetic number, because the mean of its divisors is an integer number (1517266674).

Almost surely, 2195305502240 is an apocalyptic number.

195305502240 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 195305502240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364144001760).

195305502240 is an abundant number, since it is smaller than the sum of its proper divisors (532982501280).

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

195305502240 is a wasteful number, since it uses less digits than its factorization.

195305502240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 195305502240 in words is "one hundred ninety-five billion, three hundred five million, five hundred two thousand, two hundred forty".