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164116611 = 354311567
BaseRepresentation
bin10011100100000…
…11100010000011
3102102210222200000
421302003202003
5314003212421
624141331043
74031653041
oct1162034203
9372728600
10164116611
118470426a
1246b66a83
1328002429
1417b21391
15e61c226
hex9c83883

164116611 has 24 divisors (see below), whose sum is σ = 246564864. Its totient is φ = 109087560.

The previous prime is 164116577. The next prime is 164116619. The reversal of 164116611 is 116611461.

It is a happy number.

164116611 is a `hidden beast` number, since 1 + 6 + 41 + 1 + 6 + 611 = 666.

It is not a de Polignac number, because 164116611 - 211 = 164114563 is a prime.

It is a super-2 number, since 2×1641166112 = 53868524012250642, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (164116619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103950 + ... + 105516.

It is an arithmetic number, because the mean of its divisors is an integer number (10273536).

Almost surely, 2164116611 is an apocalyptic number.

164116611 is a deficient number, since it is larger than the sum of its proper divisors (82448253).

164116611 is an equidigital number, since it uses as much as digits as its factorization.

164116611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 2001 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 164116611 is about 12810.8005604646. The cubic root of 164116611 is about 547.5000713079.

The spelling of 164116611 in words is "one hundred sixty-four million, one hundred sixteen thousand, six hundred eleven".

Divisors: 1 3 9 27 81 243 431 1293 1567 3879 4701 11637 14103 34911 42309 104733 126927 380781 675377 2026131 6078393 18235179 54705537 164116611