Search a number
-
+
164404503114543 = 334161239912269
BaseRepresentation
bin100101011000011001101000…
…000000011111001100101111
3210120002220202111101001001000
4211120121220000133030233
5133022100410244131133
61341354215220451343
746425555564060006
oct4530315000371457
9716086674331030
10164404503114543
1148425615a9a90a
121653283b549b53
1370973800554c3
142c85312b27c3d
15140181222c413
hex95866801f32f

164404503114543 has 48 divisors (see below), whose sum is σ = 253660037248800. Its totient is φ = 105176808633600.

The previous prime is 164404503114529. The next prime is 164404503114557. The reversal of 164404503114543 is 345411305404461.

164404503114543 is a `hidden beast` number, since 1 + 6 + 4 + 40 + 4 + 50 + 3 + 1 + 14 + 543 = 666.

It is an interprime number because it is at equal distance from previous prime (164404503114529) and next prime (164404503114557).

It is not a de Polignac number, because 164404503114543 - 210 = 164404503113519 is a prime.

It is a super-3 number, since 3×1644045031145433 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164404503116543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15836988 + ... + 24075281.

It is an arithmetic number, because the mean of its divisors is an integer number (5284584109350).

Almost surely, 2164404503114543 is an apocalyptic number.

164404503114543 is a deficient number, since it is larger than the sum of its proper divisors (89255534134257).

164404503114543 is an equidigital number, since it uses as much as digits as its factorization.

164404503114543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39912441 (or 39912374 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 164404503114543 in words is "one hundred sixty-four trillion, four hundred four billion, five hundred three million, one hundred fourteen thousand, five hundred forty-three".

Divisors: 1 3 9 27 41 61 123 183 369 549 1107 1647 2501 3721 7503 11163 22509 33489 67527 100467 152561 457683 1373049 4119147 39912269 119736807 359210421 1077631263 1636403029 2434648409 4909209087 7303945227 14727627261 21911835681 44182881783 65735507043 99820584769 148513552949 299461754307 445540658847 898385262921 1336621976541 2695155788763 4009865929623 6089055670909 18267167012727 54801501038181 164404503114543