Search a number
-
+
166808315864736 = 2536713419292063
BaseRepresentation
bin100101111011011000010110…
…011010011010011010100000
3210212121201102100011001000000
4211323120112122122122200
5133330441412330132421
61350434403222300000
750064334366240620
oct4573302632323240
9725551370131000
10166808315864736
1149172011692707
121686069b587600
13720cc58b078c0
142d297cbcaa880
1514441016dc226
hex97b61669a6a0

166808315864736 has 1344 divisors, whose sum is σ = 621756975006720. Its totient is φ = 42853409095680.

The previous prime is 166808315864719. The next prime is 166808315864753. The reversal of 166808315864736 is 637468513808661.

It is a happy number.

166808315864736 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 0 + 8 + 3 + 1 + 586 + 4 + 7 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (166808315864719) and next prime (166808315864753).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 223 ways as a sum of consecutive naturals, for example, 80857156441 + ... + 80857158503.

It is an arithmetic number, because the mean of its divisors is an integer number (462616796880).

Almost surely, 2166808315864736 is an apocalyptic number.

166808315864736 is a gapful number since it is divisible by the number (16) 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 166808315864736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310878487503360).

166808315864736 is an abundant number, since it is smaller than the sum of its proper divisors (454948659141984).

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

166808315864736 is a wasteful number, since it uses less digits than its factorization.

166808315864736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 166808315864736 in words is "one hundred sixty-six trillion, eight hundred eight billion, three hundred fifteen million, eight hundred sixty-four thousand, seven hundred thirty-six".