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431664565466134 = 271121319601515097
BaseRepresentation
bin110001000100110001011110…
…1000101100011010000010110
32002121101201200202112212111201
41202021202331011203100112
5423034343012224404014
64130023544101023114
7156631510224335320
oct14211427505432026
92077351622485451
10431664565466134
111155a5a06808500
12404b75996b4a9a
13156b2a42158960
147884968242610
1534d88bc95ee74
hex18898bd163416

431664565466134 has 48 divisors (see below), whose sum is σ = 875952506699424. Its totient is φ = 155243999560320.

The previous prime is 431664565466107. The next prime is 431664565466171.

431664565466134 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9800735527 + ... + 9800779570.

It is an arithmetic number, because the mean of its divisors is an integer number (18249010556238).

Almost surely, 2431664565466134 is an apocalyptic number.

431664565466134 is an abundant number, since it is smaller than the sum of its proper divisors (444287941233290).

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

431664565466134 is a wasteful number, since it uses less digits than its factorization.

431664565466134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19601515141 (or 19601515130 counting only the distinct ones).

The product of its digits is 447897600, while the sum is 64.

The spelling of 431664565466134 in words is "four hundred thirty-one trillion, six hundred sixty-four billion, five hundred sixty-five million, four hundred sixty-six thousand, one hundred thirty-four".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1573 1694 2002 3146 11011 22022 19601515097 39203030194 137210605679 215616666067 254819696261 274421211358 431233332134 509639392522 1509316662469 1783737873827 2371783326737 2803016658871 3018633324938 3567475747654 4743566653474 5606033317742 16602483287159 19621116612097 30833183247581 33204966574318 39242233224194 61666366495162 215832282733067 431664565466134