Search a number
-
+
486367249684784 = 2413172331898272621
BaseRepresentation
bin110111010010110010011001…
…1001001011101100100110000
32100210002020212212201200002012
41232211210303021131210300
51002222120111404403114
64442230010245542052
7204305605564303466
oct15645446311354460
92323066785650065
10486367249684784
11130a76212973a76
1246671293a14928
1317b50308c63840
14881642c776836
153b367dd0eb63e
hex1ba593325d930

486367249684784 has 640 divisors, whose sum is σ = 1172273609687040. Its totient is φ = 193063049625600.

The previous prime is 486367249684783. The next prime is 486367249684787. The reversal of 486367249684784 is 487486942763684.

It is a happy number.

It is a super-2 number, since 2×4863672496847842 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 486367249684696 and 486367249684705.

It is not an unprimeable number, because it can be changed into a prime (486367249684783) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 185565526994 + ... + 185565529614.

It is an arithmetic number, because the mean of its divisors is an integer number (1831677515136).

Almost surely, 2486367249684784 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 486367249684784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586136804843520).

486367249684784 is an abundant number, since it is smaller than the sum of its proper divisors (685906360002256).

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

486367249684784 is a wasteful number, since it uses less digits than its factorization.

486367249684784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3629 (or 3623 counting only the distinct ones).

The product of its digits is 74912366592, while the sum is 86.

The spelling of 486367249684784 in words is "four hundred eighty-six trillion, three hundred sixty-seven billion, two hundred forty-nine million, six hundred eighty-four thousand, seven hundred eighty-four".