Search a number
-
+
3916672427520 = 29335197613919
BaseRepresentation
bin111000111111101011110…
…111100110011000000000
3111212102121122011102122000
4320333223313212120000
51003132321120140040
612155143334544000
7552653536221036
oct70775367463000
914772548142560
103916672427520
111280062529096
125330b1808000
13225457479528
14d77d468c556
156bd357de130
hex38febde6600

3916672427520 has 640 divisors, whose sum is σ = 14667561216000. Its totient is φ = 987922759680.

The previous prime is 3916672427491. The next prime is 3916672427527. The reversal of 3916672427520 is 257242766193.

3916672427520 is a `hidden beast` number, since 3 + 9 + 1 + 6 + 6 + 72 + 42 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3916672427527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 999404121 + ... + 999408039.

It is an arithmetic number, because the mean of its divisors is an integer number (22918064400).

Almost surely, 23916672427520 is an apocalyptic number.

3916672427520 is a gapful number since it is divisible by the number (30) 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 3916672427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7333780608000).

3916672427520 is an abundant number, since it is smaller than the sum of its proper divisors (10750888788480).

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

3916672427520 is a wasteful number, since it uses less digits than its factorization.

3916672427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4731 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 3916672427520 in words is "three trillion, nine hundred sixteen billion, six hundred seventy-two million, four hundred twenty-seven thousand, five hundred twenty".