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166466424664661 = 11217109397398007
BaseRepresentation
bin100101110110011001111100…
…000110111111001001010101
3210211102000221100112112222012
4211312121330012333021111
5133304341214203232121
61350013341511314005
750030542121055512
oct4566317406771125
9724360840475865
10166466424664661
1149050017a52800
121680638497b905
1371b6941184454
142d17037344309
15143a2914c5c5b
hex97667c1bf255

166466424664661 has 24 divisors (see below), whose sum is σ = 193756492802880. Its totient is φ = 142418125745280.

The previous prime is 166466424664643. The next prime is 166466424664703.

166466424664661 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 166466424664661 - 218 = 166466424402517 is a prime.

It is a super-2 number, since 2×1664664246646612 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 166466424664591 and 166466424664600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166466424664601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18802520 + ... + 26200526.

It is an arithmetic number, because the mean of its divisors is an integer number (8073187200120).

Almost surely, 2166466424664661 is an apocalyptic number.

166466424664661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

166466424664661 is a deficient number, since it is larger than the sum of its proper divisors (27290068138219).

166466424664661 is a wasteful number, since it uses less digits than its factorization.

166466424664661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7408985 (or 7408974 counting only the distinct ones).

The product of its digits is 859963392, while the sum is 68.

The spelling of 166466424664661 in words is "one hundred sixty-six trillion, four hundred sixty-six billion, four hundred twenty-four million, six hundred sixty-four thousand, six hundred sixty-one".

Divisors: 1 11 17 121 187 2057 10939 120329 185963 1323619 2045593 7398007 22501523 81378077 125766119 895158847 1383427309 15217700399 80926798573 890194784303 1375755575741 9792142627333 15133311333151 166466424664661