Search a number
-
+
6414797396644 = 2271317371913832
BaseRepresentation
bin101110101011000111110…
…1110000101101010100100
3211201020201021000120000121
41131112033232011222210
51320100001113143034
621350530042451324
71231311442132240
oct135261756055244
924636637016017
106414797396644
11205355599597a
12877292803b44
13376bb355ac30
14182699317420
15b1ce49c51b4
hex5d58fb85aa4

6414797396644 has 288 divisors, whose sum is σ = 15142805508096. Its totient is φ = 2305688924160.

The previous prime is 6414797396639. The next prime is 6414797396687. The reversal of 6414797396644 is 4466937974146.

It is a super-3 number, since 3×64147973966443 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 95 ways as a sum of consecutive naturals, for example, 16748818077 + ... + 16748818459.

It is an arithmetic number, because the mean of its divisors is an integer number (52579185792).

Almost surely, 26414797396644 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 6414797396644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7571402754048).

6414797396644 is an abundant number, since it is smaller than the sum of its proper divisors (8728008111452).

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

6414797396644 is a wasteful number, since it uses less digits than its factorization.

6414797396644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 650 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 70.

The spelling of 6414797396644 in words is "six trillion, four hundred fourteen billion, seven hundred ninety-seven million, three hundred ninety-six thousand, six hundred forty-four".