Search a number
-
+
486151151616 = 2133313237351
BaseRepresentation
bin1110001001100001101…
…11011110000000000000
31201110211201011022201000
413010300313132000000
530431114143322431
61011200150212000
750060164415154
oct7046067360000
91643751138630
10486151151616
111781a2718759
127a277054000
1336ac7c52030
141975bc55064
15c9a4e0a9e6
hex7130dde000

486151151616 has 448 divisors, whose sum is σ = 1618818647040. Its totient is φ = 143061811200.

The previous prime is 486151151611. The next prime is 486151151659. The reversal of 486151151616 is 616151151684.

486151151616 is a `hidden beast` number, since 4 + 8 + 6 + 15 + 1 + 15 + 1 + 616 = 666.

It is a super-2 number, since 2×4861511516162 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486151151611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66130341 + ... + 66137691.

It is an arithmetic number, because the mean of its divisors is an integer number (3613434480).

Almost surely, 2486151151616 is an apocalyptic number.

486151151616 is a gapful number since it is divisible by the number (46) 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 486151151616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809409323520).

486151151616 is an abundant number, since it is smaller than the sum of its proper divisors (1132667495424).

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

486151151616 is a wasteful number, since it uses less digits than its factorization.

486151151616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7422 (or 7392 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The spelling of 486151151616 in words is "four hundred eighty-six billion, one hundred fifty-one million, one hundred fifty-one thousand, six hundred sixteen".