Search a number
-
+
66810014370801 = 32131374319670699
BaseRepresentation
bin11110011000011011010110…
…01011001000101111110001
322202112222022202212120000100
433030031223023020233301
532224103402134331201
6354032032532343013
720033602303126152
oct1714155313105761
9282488282776010
1066810014370801
111a318a71419259
1275b028a774a69
132b38207837240
14126d89c8b1929
157acd360c8886
hex3cc36b2c8bf1

66810014370801 has 48 divisors (see below), whose sum is σ = 104928178118400. Its totient is φ = 40719054170880.

The previous prime is 66810014370793. The next prime is 66810014370833. The reversal of 66810014370801 is 10807341001866.

66810014370801 is a `hidden beast` number, since 66 + 81 + 0 + 0 + 1 + 437 + 0 + 80 + 1 = 666.

It is not a de Polignac number, because 66810014370801 - 23 = 66810014370793 is a prime.

It is a super-2 number, since 2×668100143708012 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66810014371801) 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, 2073150 + ... + 11743848.

It is an arithmetic number, because the mean of its divisors is an integer number (2186003710800).

Almost surely, 266810014370801 is an apocalyptic number.

It is an amenable number.

66810014370801 is a deficient number, since it is larger than the sum of its proper divisors (38118163747599).

66810014370801 is a wasteful number, since it uses less digits than its factorization.

66810014370801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9671286 (or 9671283 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 66810014370801 in words is "sixty-six trillion, eight hundred ten billion, fourteen million, three hundred seventy thousand, eight hundred one".

Divisors: 1 3 9 13 39 117 137 411 431 1233 1293 1781 3879 5343 5603 16029 16809 50427 59047 177141 531423 767611 2302833 6908499 9670699 29012097 87036291 125719087 377157261 1131471783 1324885763 3974657289 4168071269 11923971867 12504213807 17223514919 37512641421 51670544757 54184926497 155011634271 162554779491 487664338473 571025763853 1713077291559 5139231874677 7423334930089 22270004790267 66810014370801