Search a number
-
+
466435424534664 = 233131742898577623
BaseRepresentation
bin110101000001110000111010…
…1110010100100000010001000
32021011111210100201021101000110
41222003201311302210002020
5442114034222140102124
64332005250443234320
7200150563433025054
oct15203416562440210
92234453321241013
10466435424534664
11125691175226782
1244392387b189a0
1317035896c3ca80
14832784898cc64
1538dd0c8501029
hex1a83875ca4088

466435424534664 has 64 divisors (see below), whose sum is σ = 1255795033046400. Its totient is φ = 143517751981056.

The previous prime is 466435424534659. The next prime is 466435424534741.

466435424534664 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 466435424534595 and 466435424534604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50089357 + ... + 58666979.

It is an arithmetic number, because the mean of its divisors is an integer number (19621797391350).

Almost surely, 2466435424534664 is an apocalyptic number.

It is an amenable number.

466435424534664 is an abundant number, since it is smaller than the sum of its proper divisors (789359608511736).

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

466435424534664 is a wasteful number, since it uses less digits than its factorization.

466435424534664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8751934 (or 8751930 counting only the distinct ones).

The product of its digits is 2388787200, while the sum is 66.

The spelling of 466435424534664 in words is "four hundred sixty-six trillion, four hundred thirty-five billion, four hundred twenty-four million, five hundred thirty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 174289 348578 522867 697156 1045734 1394312 2091468 2265757 4182936 4531514 6797271 8577623 9063028 13594542 17155246 18126056 25732869 27189084 34310492 51465738 54378168 68620984 102931476 111509099 205862952 223018198 334527297 446036396 669054594 892072792 1338109188 2676218376 1494985335047 2989970670094 4484956005141 5979941340188 8969912010282 11959882680376 17939824020564 19434809355611 35879648041128 38869618711222 58304428066833 77739237422444 116608856133666 155478474844888 233217712267332 466435424534664