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164126343621461 = 1343408817718187
BaseRepresentation
bin100101010100010110100100…
…011010001110101101010101
3210112010022210002012201101112
4211110112210122032231111
5133003021222431341321
61341022333521304405
746366510540304534
oct4524264432165525
9715108702181345
10164126343621461
1148328656233731
12164a8950495105
137077081004a90
142c75a864ca31b
1513e9482194a5b
hex9545a468eb55

164126343621461 has 16 divisors (see below), whose sum is σ = 180862639978944. Its totient is φ = 147977387599104.

The previous prime is 164126343621433. The next prime is 164126343621469.

164126343621461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 164126343621461 - 246 = 93757599443797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164126343621469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228169610 + ... + 228887796.

It is an arithmetic number, because the mean of its divisors is an integer number (11303914998684).

Almost surely, 2164126343621461 is an apocalyptic number.

It is an amenable number.

164126343621461 is a deficient number, since it is larger than the sum of its proper divisors (16736296357483).

164126343621461 is a wasteful number, since it uses less digits than its factorization.

164126343621461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127060.

The product of its digits is 2985984, while the sum is 50.

The spelling of 164126343621461 in words is "one hundred sixty-four trillion, one hundred twenty-six billion, three hundred forty-three million, six hundred twenty-one thousand, four hundred sixty-one".

Divisors: 1 13 43 559 408817 718187 5314621 9336431 17579131 30882041 228528703 401466533 293607054779 3816891712127 12625103355497 164126343621461