Search a number
-
+
6520421047140 = 223357111325091823
BaseRepresentation
bin101111011100010011101…
…1000010101101101100100
3212002100100100112221111000
41132320213120111231210
51323312310242002030
621511235020113300
71242041053266240
oct136704730255544
925070310487430
106520421047140
11209432776a910
1289384b995830
13383b47185a00
141878391bb420
15b49277a6860
hex5ee27615b64

6520421047140 has 1152 divisors, whose sum is σ = 27455326617600. Its totient is φ = 1247528355840.

The previous prime is 6520421047061. The next prime is 6520421047157. The reversal of 6520421047140 is 417401240256.

6520421047140 is a `hidden beast` number, since 6 + 52 + 0 + 421 + 0 + 47 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6520421047095 and 6520421047104.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 3576752269 + ... + 3576754091.

It is an arithmetic number, because the mean of its divisors is an integer number (23832748800).

Almost surely, 26520421047140 is an apocalyptic number.

6520421047140 is a gapful number since it is divisible by the number (60) 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 6520421047140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13727663308800).

6520421047140 is an abundant number, since it is smaller than the sum of its proper divisors (20934905570460).

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

6520421047140 is a wasteful number, since it uses less digits than its factorization.

6520421047140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 6520421047140 its reverse (417401240256), we get a palindrome (6937822287396).

The spelling of 6520421047140 in words is "six trillion, five hundred twenty billion, four hundred twenty-one million, forty-seven thousand, one hundred forty".