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13334234535504 = 2433199257603529
BaseRepresentation
bin1100001000001001111001…
…0100000001011001010000
31202012201222201202011002000
43002002132110001121100
53221432003020114004
644205355054354000
72544236522312331
oct302023624013120
952181881664060
1013334234535504
114281020855243
1215b43201bb900
1375954a25a30c
14341547b38288
15181cc25c1c39
hexc209e501650

13334234535504 has 160 divisors (see below), whose sum is σ = 38616263520000. Its totient is φ = 4405194326016.

The previous prime is 13334234535497. The next prime is 13334234535509. The reversal of 13334234535504 is 40553543243331.

13334234535504 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 42 + 3 + 4 + 53 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13334234535504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13334234535509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21792012 + ... + 22395540.

It is an arithmetic number, because the mean of its divisors is an integer number (241351647000).

Almost surely, 213334234535504 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 13334234535504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19308131760000).

13334234535504 is an abundant number, since it is smaller than the sum of its proper divisors (25282028984496).

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

13334234535504 is a wasteful number, since it uses less digits than its factorization.

13334234535504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604002 (or 603990 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 45.

Adding to 13334234535504 its reverse (40553543243331), we get a palindrome (53887777778835).

The spelling of 13334234535504 in words is "thirteen trillion, three hundred thirty-four billion, two hundred thirty-four million, five hundred thirty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 199 216 257 398 432 514 597 771 796 1028 1194 1542 1592 1791 2056 2313 2388 3084 3184 3582 4112 4626 4776 5373 6168 6939 7164 9252 9552 10746 12336 13878 14328 18504 21492 27756 28656 37008 42984 51143 55512 85968 102286 111024 153429 204572 306858 409144 460287 603529 613716 818288 920574 1207058 1227432 1380861 1810587 1841148 2414116 2454864 2761722 3621174 3682296 4828232 5431761 5523444 7242348 7364592 9656464 10863522 11046888 14484696 16295283 21727044 22093776 28969392 32590566 43454088 65181132 86908176 120102271 130362264 155106953 240204542 260724528 310213906 360306813 465320859 480409084 620427812 720613626 930641718 960818168 1080920439 1240855624 1395962577 1441227252 1861283436 1921636336 2161840878 2481711248 2791925154 2882454504 3242761317 3722566872 4187887731 4323681756 5583850308 5764909008 6485522634 7445133744 8375775462 8647363512 11167700616 12971045268 16751550924 17294727024 22335401232 25942090536 30866283647 33503101848 51884181072 61732567294 67006203696 92598850941 123465134588 185197701882 246930269176 277796552823 370395403764 493860538352 555593105646 740790807528 833389658469 1111186211292 1481581615056 1666779316938 2222372422584 3333558633876 4444744845168 6667117267752 13334234535504