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164163987 = 32137091979
BaseRepresentation
bin10011100100011…
…11000110010011
3102102220101122200
421302033012103
5314011221422
624142334243
74032241131
oct1162170623
9372811580
10164163987
1184736919
1246b8a383
132801ab70
1417b34751
15e62b2ac
hex9c8f193

164163987 has 24 divisors (see below), whose sum is σ = 255855600. Its totient is φ = 100830528.

The previous prime is 164163973. The next prime is 164163991. The reversal of 164163987 is 789361461.

It is a happy number.

164163987 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 639 + 8 + 7 = 666.

164163987 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 164163987 - 27 = 164163859 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164163187) 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, 81964 + ... + 83942.

It is an arithmetic number, because the mean of its divisors is an integer number (10660650).

Almost surely, 2164163987 is an apocalyptic number.

164163987 is a deficient number, since it is larger than the sum of its proper divisors (91691613).

164163987 is a wasteful number, since it uses less digits than its factorization.

164163987 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707 (or 2704 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 164163987 is about 12812.6494918108. The cubic root of 164163987 is about 547.5527490304.

The spelling of 164163987 in words is "one hundred sixty-four million, one hundred sixty-three thousand, nine hundred eighty-seven".

Divisors: 1 3 9 13 39 117 709 1979 2127 5937 6381 9217 17811 25727 27651 77181 82953 231543 1403111 4209333 12627999 18240443 54721329 164163987