Search a number
-
+
166115655506565 = 325171491457346629
BaseRepresentation
bin100101110001010011010000…
…101000110101101010000101
3210210011111112122111002001100
4211301103100220311222011
5133233114330302202230
61345144251215050313
746663313541320022
oct4561232050655205
9723144478432040
10166115655506565
1148a252879a8606
121676a3b0b10999
13718c8401411bb
142d0407d694549
1514310b1b8d660
hex9714d0a35a85

166115655506565 has 48 divisors (see below), whose sum is σ = 306917200278000. Its totient is φ = 82823923562496.

The previous prime is 166115655506533. The next prime is 166115655506569. The reversal of 166115655506565 is 565605556511661.

166115655506565 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 1 + 5 + 65 + 5 + 5 + 0 + 6 + 565 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4101426939204 + 162014228567361 = 2025198^2 + 12728481^2 .

It is not a de Polignac number, because 166115655506565 - 25 = 166115655506533 is a prime.

It is a super-2 number, since 2×1661156555065652 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166115655506569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728559330 + ... + 728787299.

It is an arithmetic number, because the mean of its divisors is an integer number (6394108339125).

Almost surely, 2166115655506565 is an apocalyptic number.

166115655506565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

166115655506565 is a deficient number, since it is larger than the sum of its proper divisors (140801544771435).

166115655506565 is a wasteful number, since it uses less digits than its factorization.

166115655506565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457346806 (or 1457346803 counting only the distinct ones).

The product of its (nonzero) digits is 121500000, while the sum is 63.

The spelling of 166115655506565 in words is "one hundred sixty-six trillion, one hundred fifteen billion, six hundred fifty-five million, five hundred six thousand, five hundred sixty-five".

Divisors: 1 3 5 9 15 17 45 51 85 149 153 255 447 745 765 1341 2235 2533 6705 7599 12665 22797 37995 113985 1457346629 4372039887 7286733145 13116119661 21860199435 24774892693 65580598305 74324678079 123874463465 217144647721 222974034237 371623390395 651433943163 1085723238605 1114870171185 1954301829489 3257169715815 3691459011257 9771509147445 11074377033771 18457295056285 33223131101313 55371885168855 166115655506565