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3406135104603 = 3271124135956809
BaseRepresentation
bin110001100100001101011…
…110010001010001011011
3110001121211102010020210100
4301210031132101101123
5421301231041321403
611124431252150443
7501041126454330
oct61441536212133
913047742106710
103406135104603
1110a3596517a60
1247016b908423
131b927421c04a
14bac01bd6987
155d904a612a3
hex3190d79145b

3406135104603 has 96 divisors (see below), whose sum is σ = 6176710425600. Its totient is φ = 1757139609600.

The previous prime is 3406135104569. The next prime is 3406135104607. The reversal of 3406135104603 is 3064015316043.

3406135104603 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 1 + 35 + 10 + 4 + 603 = 666.

It is not a de Polignac number, because 3406135104603 - 225 = 3406101550171 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3406135104607) 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, 59929263 + ... + 59986071.

It is an arithmetic number, because the mean of its divisors is an integer number (64340733600).

Almost surely, 23406135104603 is an apocalyptic number.

3406135104603 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3406135104603 is a deficient number, since it is larger than the sum of its proper divisors (2770575320997).

3406135104603 is a wasteful number, since it uses less digits than its factorization.

3406135104603 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57433 (or 57430 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 3406135104603 in words is "three trillion, four hundred six billion, one hundred thirty-five million, one hundred four thousand, six hundred three".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 241 359 693 723 1077 1687 2169 2513 2651 3231 3949 5061 7539 7953 11847 15183 18557 22617 23859 27643 35541 55671 56809 82929 86519 167013 170427 248787 259557 397663 511281 605633 624899 778671 951709 1192989 1816899 1874697 2855127 3578967 4374293 5450697 5624091 6661963 8565381 13122879 13690969 19985889 20394431 39368637 41072907 59957667 61183293 95836783 123218721 142761017 150600659 183549879 224338741 287510349 428283051 451801977 673016223 862531047 1054204613 1284849153 1355405931 1570371187 2019048669 3162613839 4711113561 4915057871 9487841517 14133340683 14745173613 34405405097 44235520839 54065636581 103216215291 162196909743 309648645873 378459456067 486590729229 1135378368201 3406135104603