Search a number
-
+
2095462656 = 28337223269
BaseRepresentation
bin111110011100110…
…0011100100000000
312102000222112101000
41330321203210000
513242414301111
6543533012000
7102633065400
oct17471434400
95360875330
102095462656
1198591a121
124a5924000
1327518c841
1415c428800
15c3e6cc56
hex7ce63900

2095462656 has 432 divisors, whose sum is σ = 7549718400. Its totient is φ = 570544128.

The previous prime is 2095462613. The next prime is 2095462717. The reversal of 2095462656 is 6562645902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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, 7789690 + ... + 7789958.

It is an arithmetic number, because the mean of its divisors is an integer number (17476200).

Almost surely, 22095462656 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 2095462656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774859200).

2095462656 is an abundant number, since it is smaller than the sum of its proper divisors (5454255744).

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

2095462656 is a wasteful number, since it uses less digits than its factorization.

2095462656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 2095462656 is about 45776.2236974611. The cubic root of 2095462656 is about 1279.6562097543.

The spelling of 2095462656 in words is "two billion, ninety-five million, four hundred sixty-two thousand, six hundred fifty-six".