Search a number
-
+
164412266342005 = 51119676719349493
BaseRepresentation
bin100101011000100000110110…
…101110110110011001110101
3210120010122210112020212002001
4211120200312232312121311
5133022212310140421010
61341401541421415301
746426252141316143
oct4530406656663165
9716118715225061
10164412266342005
114842893a149580
121653424740a531
137098019507816
142c8584bb9a593
151401b18a57c3a
hex958836bb6675

164412266342005 has 64 divisors (see below), whose sum is σ = 229974880665600. Its totient is φ = 111571602405120.

The previous prime is 164412266341943. The next prime is 164412266342087. The reversal of 164412266342005 is 500243662214461.

It is a de Polignac number, because none of the positive numbers 2k-164412266342005 is a prime.

It is a super-3 number, since 3×1644122663420053 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 470256039 + ... + 470605531.

It is an arithmetic number, because the mean of its divisors is an integer number (3593357510400).

Almost surely, 2164412266342005 is an apocalyptic number.

It is an amenable number.

164412266342005 is a deficient number, since it is larger than the sum of its proper divisors (65562614323595).

164412266342005 is a wasteful number, since it uses less digits than its factorization.

164412266342005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356314.

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 164412266342005 in words is "one hundred sixty-four trillion, four hundred twelve billion, two hundred sixty-six million, three hundred forty-two thousand, five".

Divisors: 1 5 11 19 55 67 95 209 335 737 1045 1273 3685 6365 6719 14003 33595 70015 73909 127661 349493 369545 450173 638305 1404271 1747465 2250865 3844423 4951903 6640367 7021355 8553287 19222115 23416031 24759515 33201835 42766435 73044037 94086157 117080155 257576341 365220185 444904589 470430785 1287881705 2224522945 2348243467 4893950479 11741217335 24469752395 25830678137 44616625873 129153390685 157332312289 223083129365 490782884603 786661561445 1730655435179 2453914423015 2989313933491 8653277175895 14946569667455 32882453268401 164412266342005