Search a number
-
+
3920996711808 = 2732112232575399
BaseRepresentation
bin111001000011101101100…
…111011011110110000000
3111212211210000001211111100
4321003231213123312000
51003220200124234213
612201140411214400
7553165645065621
oct71035547336600
914784700054440
103920996711808
111281981472960
12533ab9a47400
1322599631c227
14d7ac4ad7a48
156beda26d773
hex390ed9dbd80

3920996711808 has 384 divisors, whose sum is σ = 12414415104000. Its totient is φ = 1178031882240.

The previous prime is 3920996711803. The next prime is 3920996711893. The reversal of 3920996711808 is 8081176990293.

3920996711808 is a `hidden beast` number, since 392 + 0 + 9 + 9 + 67 + 1 + 180 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3920996711803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726242293 + ... + 726247691.

It is an arithmetic number, because the mean of its divisors is an integer number (32329206000).

Almost surely, 23920996711808 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 3920996711808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6207207552000).

3920996711808 is an abundant number, since it is smaller than the sum of its proper divisors (8493418392192).

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

3920996711808 is a wasteful number, since it uses less digits than its factorization.

3920996711808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5910 (or 5895 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 3920996711808 in words is "three trillion, nine hundred twenty billion, nine hundred ninety-six million, seven hundred eleven thousand, eight hundred eight".