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164126505 = 3523475729
BaseRepresentation
bin10011100100001…
…01111100101001
3102102211111020110
421302011330221
5314004022010
624141444533
74032023634
oct1162057451
9372744213
10164126505
1184710744
1246b70749
1328006a9a
1417b24c1b
15e620120
hex9c85f29

164126505 has 16 divisors (see below), whose sum is σ = 274020480. Its totient is φ = 83728128.

The previous prime is 164126497. The next prime is 164126509. The reversal of 164126505 is 505621461.

164126505 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 164126505 - 23 = 164126497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164126509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237520 + ... + 238209.

It is an arithmetic number, because the mean of its divisors is an integer number (17126280).

Almost surely, 2164126505 is an apocalyptic number.

164126505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164126505 is a deficient number, since it is larger than the sum of its proper divisors (109893975).

164126505 is a wasteful number, since it uses less digits than its factorization.

164126505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475760.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 164126505 is about 12811.1867131816. The cubic root of 164126505 is about 547.5110733567.

Adding to 164126505 its reverse (505621461), we get a palindrome (669747966).

The spelling of 164126505 in words is "one hundred sixty-four million, one hundred twenty-six thousand, five hundred five".

Divisors: 1 3 5 15 23 69 115 345 475729 1427187 2378645 7135935 10941767 32825301 54708835 164126505