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166866668661 = 37112293154439
BaseRepresentation
bin1001101101101000000…
…1110100110001110101
3120221201020002001120110
42123122001310301311
510213220331344121
6204354003453233
715025053165240
oct2333201646165
9527636061513
10166866668661
116484997aa40
122840b387219
1312973a5b984
14810d884257
15451971ad76
hex26da074c75

166866668661 has 32 divisors (see below), whose sum is σ = 278600140800. Its totient is φ = 86305423680.

The previous prime is 166866668609. The next prime is 166866668671.

166866668661 is nontrivially palindromic in base 10.

166866668661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 166866668661 - 215 = 166866635893 is a prime.

It is a super-2 number, since 2×1668666686612 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 166866668592 and 166866668601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166866668671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1524321 + ... + 1630118.

It is an arithmetic number, because the mean of its divisors is an integer number (8706254400).

Almost surely, 2166866668661 is an apocalyptic number.

166866668661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

166866668661 is a deficient number, since it is larger than the sum of its proper divisors (111733472139).

166866668661 is a wasteful number, since it uses less digits than its factorization.

166866668661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154689.

The product of its digits is 107495424, while the sum is 66.

The spelling of 166866668661 in words is "one hundred sixty-six billion, eight hundred sixty-six million, six hundred sixty-eight thousand, six hundred sixty-one".

Divisors: 1 3 7 11 21 33 77 229 231 687 1603 2519 4809 7557 17633 52899 3154439 9463317 22081073 34698829 66243219 104096487 242891803 722366531 728675409 2167099593 5056565717 7946031841 15169697151 23838095523 55622222887 166866668661