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13420242654 = 237131031271879
BaseRepresentation
bin11000111111110100…
…01010011011011110
31021122021112222000020
430133322022123132
5204441040231104
610055402213010
7653365115610
oct143772123336
937567488006
1013420242654
115767416a35
1227264b4166
13135b47ccb0
149144bcdb0
155382b32d9
hex31fe8a6de

13420242654 has 128 divisors (see below), whose sum is σ = 33635696640. Its totient is φ = 3475592064.

The previous prime is 13420242637. The next prime is 13420242673. The reversal of 13420242654 is 45624202431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7141287 + ... + 7143165.

It is an arithmetic number, because the mean of its divisors is an integer number (262778880).

Almost surely, 213420242654 is an apocalyptic number.

13420242654 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13420242654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16817848320).

13420242654 is an abundant number, since it is smaller than the sum of its proper divisors (20215453986).

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

13420242654 is a wasteful number, since it uses less digits than its factorization.

13420242654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134.

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 13420242654 in words is "thirteen billion, four hundred twenty million, two hundred forty-two thousand, six hundred fifty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 103 127 182 206 254 273 309 381 546 618 721 762 889 1339 1442 1651 1778 1879 2163 2667 2678 3302 3758 4017 4326 4953 5334 5637 8034 9373 9906 11274 11557 13081 13153 18746 23114 24427 26162 26306 28119 34671 39243 39459 48854 56238 69342 73281 78486 78918 91567 146562 170053 170989 183134 193537 238633 274701 340106 341978 387074 477266 510159 512967 549402 580611 715899 1020318 1025934 1161222 1190371 1354759 1431798 1670431 2380742 2515981 2709518 3102229 3340862 3571113 4064277 5011293 5031962 6204458 7142226 7547943 8128554 9306687 10022586 15095886 17611867 18613374 21715603 24579199 35223734 43431206 49158398 52835601 65146809 73737597 105671202 130293618 147475194 172054393 319529587 344108786 516163179 639059174 958588761 1032326358 1917177522 2236707109 4473414218 6710121327 13420242654