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165683866993 = 233109271461
BaseRepresentation
bin1001101001001110000…
…1110010110101110001
3120211122210102111201021
42122103201302311301
510203310032220433
6204040352135441
714653541430001
oct2322341626561
9524583374637
10165683866993
11642a22505a7
122813b237581
13128159a9628
14803a750001
15449a97b22d
hex2693872d71

165683866993 has 32 divisors (see below), whose sum is σ = 175829068800. Its totient is φ = 156107476800.

The previous prime is 165683866963. The next prime is 165683867009. The reversal of 165683866993 is 399668386561.

It is a happy number.

165683866993 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 165683866993 - 213 = 165683858801 is a prime.

It is a super-2 number, since 2×1656838669932 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (302330880) is a multiple of the sum of its prime divisors (864).

It is not an unprimeable number, because it can be changed into a prime (165683866903) 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, 359400783 + ... + 359401243.

It is an arithmetic number, because the mean of its divisors is an integer number (5494658400).

Almost surely, 2165683866993 is an apocalyptic number.

It is an amenable number.

165683866993 is a deficient number, since it is larger than the sum of its proper divisors (10145201807).

165683866993 is an equidigital number, since it uses as much as digits as its factorization.

165683866993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 864 counting only the distinct ones).

The product of its digits is 302330880, while the sum is 70.

The spelling of 165683866993 in words is "one hundred sixty-five billion, six hundred eighty-three million, eight hundred sixty-six thousand, nine hundred ninety-three".

Divisors: 1 23 109 271 461 529 2507 6233 10603 12167 29539 50249 57661 124931 143359 243869 679397 1155727 1326203 2873413 3297257 5608987 13617479 15626131 26581721 66088499 313202017 359401013 611379583 1520035477 7203646391 165683866993