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681909070909185 = 33575861891230997
BaseRepresentation
bin1001101100001100010101001…
…1111100001100111100000001
310022102102212111121110122012000
42123003011103330030330001
51203334344234123043220
610414144411424054213
7263430206316362460
oct23303052374147401
93272385447418160
10681909070909185
11188306016217129
1264592668164369
1323365998770352
14c05680a2449d7
1553c8046dd1390
hex26c3153f0cf01

681909070909185 has 64 divisors (see below), whose sum is σ = 1385469537830400. Its totient is φ = 311729075963136.

The previous prime is 681909070909181. The next prime is 681909070909207. The reversal of 681909070909185 is 581909070909186.

It is not a de Polignac number, because 681909070909185 - 22 = 681909070909181 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (681909070909181) 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 63 ways as a sum of consecutive naturals, for example, 553333107 + ... + 554564103.

It is an arithmetic number, because the mean of its divisors is an integer number (21647961528600).

Almost surely, 2681909070909185 is an apocalyptic number.

It is an amenable number.

681909070909185 is an abundant number, since it is smaller than the sum of its proper divisors (703560466921215).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

681909070909185 is a wasteful number, since it uses less digits than its factorization.

681909070909185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817207 (or 1817201 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 72.

Subtracting from 681909070909185 its reverse (581909070909186), we obtain a palindrome (99999999999999).

The spelling of 681909070909185 in words is "six hundred eighty-one trillion, nine hundred nine billion, seventy million, nine hundred nine thousand, one hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 586189 1230997 1758567 2930945 3692991 4103323 5275701 6154985 8616979 8792835 11078973 12309969 15827103 18464955 20516615 25850937 26378505 33236919 36929907 43084895 55394865 61549845 77552811 79135515 110789721 129254685 166184595 184649535 232658433 387764055 553948605 1163292165 721596900433 2164790701299 3607984502165 5051178303031 6494372103897 10823953506495 15153534909093 19483116311691 25255891515155 32471860519485 45460604727279 75767674545465 97415581558455 136381814181837 227303023636395 681909070909185