Search a number
-
+
6688148742080 = 2651317864710937
BaseRepresentation
bin110000101010011010010…
…1110101101111111000000
3212200101021120210200001122
41201110310232231333000
51334034312034221310
622120254302451412
71260126363211301
oct141246456557700
925611246720048
106688148742080
112149478672613
1290025b593b68
133968c7413690
141919cb1547a8
15b8e928a1555
hex61534badfc0

6688148742080 has 224 divisors, whose sum is σ = 18163900411776. Its totient is φ = 2323726073856.

The previous prime is 6688148742073. The next prime is 6688148742137. The reversal of 6688148742080 is 802478418866.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611510372 + ... + 611521308.

It is an arithmetic number, because the mean of its divisors is an integer number (81088841124).

Almost surely, 26688148742080 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 6688148742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9081950205888).

6688148742080 is an abundant number, since it is smaller than the sum of its proper divisors (11475751669696).

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

6688148742080 is a wasteful number, since it uses less digits than its factorization.

6688148742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19631 (or 19621 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 62.

The spelling of 6688148742080 in words is "six trillion, six hundred eighty-eight billion, one hundred forty-eight million, seven hundred forty-two thousand, eighty".