Search a number
-
+
690065707968 = 2636731331107
BaseRepresentation
bin10100000101010110001…
…11110001001111000000
32102222011212101002000000
422002223013301033000
542301223310123333
61245002315000000
7100566320511000
oct12025307611700
92388155332000
10690065707968
11246723113a9a
12b18a5739000
13500c4277830
1425583ba8000
1512e3bd78713
hexa0ab1f13c0

690065707968 has 1568 divisors, whose sum is σ = 2686492569600. Its totient is φ = 174478510080.

The previous prime is 690065707963. The next prime is 690065708039. The reversal of 690065707968 is 869707560096.

It is a tau number, because it is divible by the number of its divisors (1568).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690065707963) 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 223 ways as a sum of consecutive naturals, for example, 6449212171 + ... + 6449212277.

Almost surely, 2690065707968 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 690065707968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343246284800).

690065707968 is an abundant number, since it is smaller than the sum of its proper divisors (1996426861632).

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

690065707968 is a wasteful number, since it uses less digits than its factorization.

690065707968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 690065707968 in words is "six hundred ninety billion, sixty-five million, seven hundred seven thousand, nine hundred sixty-eight".