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535150051143344 = 247131312953195009
BaseRepresentation
bin111100110101101110101010…
…0101100110010111010110000
32121011210211211012002101200022
41321223131110230302322300
51030120344301043041334
65134100312314143012
7220502213101106420
oct17153352454627260
92534724735071608
10535150051143344
111455739535a025a
125002b7b9421a68
1319c7b582c12280
149621587654480
1541d073322b82e
hex1e6b754b32eb0

535150051143344 has 160 divisors (see below), whose sum is σ = 1285925550497280. Its totient is φ = 210082297651200.

The previous prime is 535150051143311. The next prime is 535150051143391. The reversal of 535150051143344 is 443341150051535.

It is a junction number, because it is equal to n+sod(n) for n = 535150051143295 and 535150051143304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5632577312 + ... + 5632672320.

It is an arithmetic number, because the mean of its divisors is an integer number (8037034690608).

Almost surely, 2535150051143344 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 535150051143344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642962775248640).

535150051143344 is an abundant number, since it is smaller than the sum of its proper divisors (750775499353936).

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

535150051143344 is a wasteful number, since it uses less digits than its factorization.

535150051143344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124699 (or 124693 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 44.

The spelling of 535150051143344 in words is "five hundred thirty-five trillion, one hundred fifty billion, fifty-one million, one hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 131 182 208 262 364 524 728 917 1048 1456 1703 1834 2096 3406 3668 6812 7336 11921 13624 14672 23842 27248 29531 47684 59062 95009 95368 118124 190018 190736 206717 236248 380036 383903 413434 472496 665063 760072 767806 826868 1235117 1330126 1520144 1535612 1653736 2470234 2660252 2687321 3071224 3307472 3868561 4940468 5320504 5374642 6142448 7737122 8645819 9880936 10641008 10749284 12446179 15474244 17291638 19761872 21498568 24892358 27079927 30948488 34583276 42997136 49784716 50291293 54159854 61896976 69166552 87123253 99569432 100582586 108319708 138333104 161800327 174246506 199138864 201165172 216639416 323600654 348493012 352039051 402330344 433278832 647201308 696986024 704078102 804660688 1132602289 1294402616 1393972048 1408156204 2265204578 2588805232 2805710779 2816312408 4530409156 5611421558 5632624816 9060818312 11222843116 18121636624 19639975453 22445686232 36474240127 39279950906 44891372464 72948480254 78559901812 145896960508 157119803624 255319680889 291793921016 314239607248 367548112049 510639361778 583587842032 735096224098 1021278723556 1470192448196 2042557447112 2572836784343 2940384896392 4085114894224 4778125456637 5145673568686 5880769792784 9556250913274 10291347137372 19112501826548 20582694274744 33446878196459 38225003653096 41165388549488 66893756392918 76450007306192 133787512785836 267575025571672 535150051143344