Search a number
-
+
3695033664 = 2632719139347
BaseRepresentation
bin1101110000111101…
…1011110101000000
3100112111212011021200
43130033123311000
530031412034124
61410353221200
7160365160620
oct33417336500
910474764250
103695033664
111626828533
12871561800
1346b6a526a
14270a4a880
151695d4bc9
hexdc3dbd40

3695033664 has 336 divisors, whose sum is σ = 12869875200. Its totient is φ = 990102528.

The previous prime is 3695033663. The next prime is 3695033761. The reversal of 3695033664 is 4663305963.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3695033663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10648339 + ... + 10648685.

It is an arithmetic number, because the mean of its divisors is an integer number (38303200).

Almost surely, 23695033664 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 3695033664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6434937600).

3695033664 is an abundant number, since it is smaller than the sum of its proper divisors (9174841536).

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

3695033664 is a wasteful number, since it uses less digits than its factorization.

3695033664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The square root of 3695033664 is about 60786.7885646215. The cubic root of 3695033664 is about 1545.9880518125.

The spelling of 3695033664 in words is "three billion, six hundred ninety-five million, thirty-three thousand, six hundred sixty-four".