Search a number
-
+
486660769056 = 2533711234767101
BaseRepresentation
bin1110001010011110011…
…11100000010100100000
31201112011020002120102000
413011033033200110200
530433140124102211
61011322513124000
750105623166250
oct7051717402440
91645136076360
10486660769056
111784343538a0
127a399859600
1336b796c3807
14197a97d1960
15c9d4a23656
hex714f3e0520

486660769056 has 1536 divisors, whose sum is σ = 1933006602240. Its totient is φ = 115416576000.

The previous prime is 486660769039. The next prime is 486660769057. The reversal of 486660769056 is 650967066684.

It is a super-2 number, since 2×4866607690562 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 486660768984 and 486660769002.

It is not an unprimeable number, because it can be changed into a prime (486660769057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4818423406 + ... + 4818423506.

It is an arithmetic number, because the mean of its divisors is an integer number (1258467840).

Almost surely, 2486660769056 is an apocalyptic number.

486660769056 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 486660769056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966503301120).

486660769056 is an abundant number, since it is smaller than the sum of its proper divisors (1446345833184).

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

486660769056 is a wasteful number, since it uses less digits than its factorization.

486660769056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 486660769056 in words is "four hundred eighty-six billion, six hundred sixty million, seven hundred sixty-nine thousand, fifty-six".