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1313435521636 = 2272971311573359
BaseRepresentation
bin10011000111001110110…
…110111001001001100100
311122120012120122200001121
4103013032312321021210
5133004403443143021
62443214533303324
7163615104504400
oct23071666711144
94576176580047
101313435521636
11467030124487
12192676a94b44
1396b19796a44
14477dbac4100
1524273705741
hex131cedb9264

1313435521636 has 144 divisors (see below), whose sum is σ = 2740118008320. Its totient is φ = 549160335360.

The previous prime is 1313435521627. The next prime is 1313435521679. The reversal of 1313435521636 is 6361255343131.

It is a super-2 number, since 2×13134355216362 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1313435521592 and 1313435521601.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391018125 + ... + 391021483.

It is an arithmetic number, because the mean of its divisors is an integer number (19028597280).

Almost surely, 21313435521636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313435521636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370059004160).

1313435521636 is an abundant number, since it is smaller than the sum of its proper divisors (1426682486684).

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

1313435521636 is a wasteful number, since it uses less digits than its factorization.

1313435521636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3753 counting only the distinct ones).

The product of its digits is 583200, while the sum is 43.

The spelling of 1313435521636 in words is "one trillion, three hundred thirteen billion, four hundred thirty-five million, five hundred twenty-one thousand, six hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 97 98 131 157 194 196 262 314 388 524 628 679 917 1099 1358 1834 2198 2716 3359 3668 4396 4753 6419 6718 7693 9506 12707 12838 13436 15229 15386 19012 20567 23513 25414 25676 30458 30772 41134 47026 50828 60916 82268 88949 94052 106603 143969 164591 177898 213206 287938 325823 329182 355796 426412 440029 527363 575876 622643 651646 658364 746221 880058 1007783 1054726 1245286 1303292 1492442 1760116 1994999 2015566 2109452 2280761 2490572 2984884 3080203 3691541 3989998 4031132 4561522 6160406 7383082 7979996 9123044 12320812 13964993 14766164 15965327 21561421 25840787 27929986 31930654 42682813 43122842 51154211 51681574 55859972 63861308 69084553 85365626 86245684 97754951 102308422 103363148 138169106 170731252 195509902 204616844 276338212 298779691 358079477 391019804 483591871 597559382 716158954 967183742 1195118764 1432317908 1934367484 2091457837 2506556339 3385143097 4182915674 5013112678 6701201641 6770286194 8365831348 10026225356 13402403282 13540572388 26804806564 46908411487 93816822974 187633645948 328358880409 656717760818 1313435521636