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50268085301343 = 37133197354117293
BaseRepresentation
bin10110110110111111100110…
…10111100011000001011111
320120222120201021221121201210
423123133303113203001133
523042043014314120333
6254524501203435503
713405515005036010
oct1333376327430137
9216876637847653
1050268085301343
1115020636736978
12577a360085b93
13220834c5aa7c0
14c5adb9ccd007
155c28c5581a63
hex2db7f35e305f

50268085301343 has 128 divisors (see below), whose sum is σ = 86059353554944. Its totient is φ = 25386537369600.

The previous prime is 50268085301327. The next prime is 50268085301353. The reversal of 50268085301343 is 34310358086205.

It is a happy number.

It is not a de Polignac number, because 50268085301343 - 24 = 50268085301327 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 50268085301292 and 50268085301301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50268085301323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2906837205 + ... + 2906854497.

It is an arithmetic number, because the mean of its divisors is an integer number (672338699648).

Almost surely, 250268085301343 is an apocalyptic number.

50268085301343 is a deficient number, since it is larger than the sum of its proper divisors (35791268253601).

50268085301343 is a wasteful number, since it uses less digits than its factorization.

50268085301343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20985.

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 50268085301343 in words is "fifty trillion, two hundred sixty-eight billion, eighty-five million, three hundred one thousand, three hundred forty-three".

Divisors: 1 3 7 13 21 31 39 91 93 97 217 273 291 403 651 679 1209 1261 2037 2821 3007 3541 3783 8463 8827 9021 10623 17293 21049 24787 26481 39091 46033 51879 63147 74361 109771 117273 121051 138099 224809 273637 322231 329313 343477 363153 536083 674427 768397 820911 966693 1030431 1427023 1573663 1608249 1677421 2305191 2404339 3752581 4281069 4465201 4720989 5032263 6969079 7213017 9989161 10647787 11257743 11741947 13395603 20907237 21806473 29967483 31256407 31943361 35225841 48783553 52000051 61234513 65419419 74534509 93769221 138421231 146350659 152645311 156000153 183703539 223603527 364000357 415263693 428641591 457935933 676000663 796048669 968948617 1092001071 1285924773 1898269903 2028001989 2388146007 2906845851 4732004641 5572340683 5694809709 5939747761 13287889321 14196013923 16717022049 17819243283 24677508739 39863667963 41578234327 74032526217 77216720893 124734702981 172742561173 184132180591 231650162679 518227683519 540517046251 552396541773 1288925264137 1621551138753 2393718347683 3866775792411 7181155043049 16756028433781 50268085301343