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4464052454631 = 372114216839601
BaseRepresentation
bin100000011110101111001…
…0000101100010011100111
3120210202111111020220100110
41000331132100230103213
51041114334412022011
613254431332344103
7640342244535300
oct100753620542347
916722444226313
104464052454631
111471215262190
126011b6175033
13264c5c6200b3
141160c02817a7
157b1c0c8dba6
hex40f5e42c4e7

4464052454631 has 96 divisors (see below), whose sum is σ = 7583092390656. Its totient is φ = 2309852160000.

The previous prime is 4464052454621. The next prime is 4464052454647. The reversal of 4464052454631 is 1364542504644.

It is not a de Polignac number, because 4464052454631 - 25 = 4464052454599 is a prime.

It is a super-2 number, since 2×44640524546312 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4464052454621) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 464952231 + ... + 464961831.

It is an arithmetic number, because the mean of its divisors is an integer number (78990545736).

Almost surely, 24464052454631 is an apocalyptic number.

4464052454631 is a deficient number, since it is larger than the sum of its proper divisors (3119039936025).

4464052454631 is a wasteful number, since it uses less digits than its factorization.

4464052454631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10733 (or 10726 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

The spelling of 4464052454631 in words is "four trillion, four hundred sixty-four billion, fifty-two million, four hundred fifty-four thousand, six hundred thirty-one".

Divisors: 1 3 7 11 21 33 49 77 147 231 421 539 683 1263 1617 2049 2947 4631 4781 7513 8841 9601 13893 14343 20629 22539 28803 32417 33467 52591 61887 67207 97251 100401 105611 157773 201621 226919 287543 316833 368137 470449 680757 739277 862629 1104411 1411347 2012801 2217831 3162973 4042021 5174939 6038403 6557483 9488919 12126063 14089607 15524817 19672449 22140811 28294147 42268821 44462231 45902381 66422433 72132313 84882441 133386693 137707143 154985677 198059029 216396939 311235617 321316667 464957031 504926191 594177087 933706851 963950001 1514778573 2178649319 2760700343 3534483337 6535947957 8282101029 10603450011 19324902401 30367703773 57974707203 91103111319 135274316807 212573926411 405822950421 637721779233 1488017484877 4464052454631