Search a number
-
+
6631939124096 = 27111319732391093
BaseRepresentation
bin110000010000001111001…
…1000000010101110000000
3212111000012020111012221112
41200200132120002232000
51332124202403432341
622034400515342452
71253066430304106
oct140403630025600
925430166435845
106631939124096
112127653817680
128b1392bb1a28
1339150a033bb0
1418cdb7c4bc76
15b77a2cb9aeb
hex6081e602b80

6631939124096 has 512 divisors, whose sum is σ = 16647144192000. Its totient is φ = 2586817658880.

The previous prime is 6631939124093. The next prime is 6631939124131. The reversal of 6631939124096 is 6904219391366.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6631939124093) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6067647326 + ... + 6067648418.

It is an arithmetic number, because the mean of its divisors is an integer number (32513953500).

Almost surely, 26631939124096 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 6631939124096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8323572096000).

6631939124096 is an abundant number, since it is smaller than the sum of its proper divisors (10015205067904).

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

6631939124096 is a wasteful number, since it uses less digits than its factorization.

6631939124096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 59.

The spelling of 6631939124096 in words is "six trillion, six hundred thirty-one billion, nine hundred thirty-nine million, one hundred twenty-four thousand, ninety-six".