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13204436484558 = 23113161120188093
BaseRepresentation
bin1100000000100110010110…
…1111110000000111001110
31201202022221212210222110210
43000021211233300013032
53212320141220001213
644030011231543250
72531663150140614
oct300114557600716
951668855728423
1013204436484558
114230a7417a460
12159313708ab26
1374a233172c87
143391533db6b4
1517d7273500c3
hexc0265bf01ce

13204436484558 has 128 divisors (see below), whose sum is σ = 30252060315648. Its totient is φ = 3805574400000.

The previous prime is 13204436484539. The next prime is 13204436484571. The reversal of 13204436484558 is 85548463440231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13204436484498 and 13204436484507.

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, 149847960 + ... + 149936052.

It is an arithmetic number, because the mean of its divisors is an integer number (236344221216).

Almost surely, 213204436484558 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13204436484558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15126030157824).

13204436484558 is an abundant number, since it is smaller than the sum of its proper divisors (17047623831090).

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

13204436484558 is a wasteful number, since it uses less digits than its factorization.

13204436484558 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89402.

The product of its (nonzero) digits is 44236800, while the sum is 57.

The spelling of 13204436484558 in words is "thirteen trillion, two hundred four billion, four hundred thirty-six million, four hundred eighty-four thousand, five hundred fifty-eight".

Divisors: 1 2 3 6 11 22 31 33 61 62 66 93 122 183 186 341 366 671 682 1023 1201 1342 1891 2013 2046 2402 3603 3782 4026 5673 7206 11346 13211 20801 26422 37231 39633 41602 62403 73261 74462 79266 88093 111693 124806 146522 176186 219783 223386 264279 409541 439566 528558 805871 819082 969023 1228623 1611742 1938046 2271091 2417613 2457246 2730883 2907069 4542182 4835226 5373673 5461766 5814138 6813273 8192649 10747346 13626546 16121019 16385298 24982001 30039713 32242038 49964002 59110403 60079426 74946003 90119139 105799693 118220806 149892006 166583863 177331209 180238278 211599386 317399079 333167726 354662418 499751589 634798158 999503178 1163796623 1832422493 2327593246 3279790483 3491389869 3664844986 5497267479 6453781273 6559580966 6982779738 9839371449 10994534958 12907562546 19361343819 19678742898 36077695313 38722687638 70991594003 72155390626 108233085939 141983188006 200067219463 212974782009 216466171878 400134438926 425949564018 600201658389 1200403316778 2200739414093 4401478828186 6602218242279 13204436484558