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521856420114018 = 2311193072053660277
BaseRepresentation
bin111011010101000000010101…
…0100010110110111001100010
32112102201222122012000001221110
41312222000222202312321202
51021400043422022122033
65045521310233404150
7214630611401546103
oct16652005242667142
92472658565001843
10521856420114018
111413090794271a0
124a64332b269656
1319525b06a8cc72
1492c1db23043aa
15404ea3a603363
hex1daa02a8b6e62

521856420114018 has 128 divisors (see below), whose sum is σ = 1203013416084480. Its totient is φ = 149254280536320.

The previous prime is 521856420113971. The next prime is 521856420114061. The reversal of 521856420114018 is 810411024658125.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 790029696 + ... + 790689972.

It is an arithmetic number, because the mean of its divisors is an integer number (9398542313160).

Almost surely, 2521856420114018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 521856420114018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601506708042240).

521856420114018 is an abundant number, since it is smaller than the sum of its proper divisors (681156995970462).

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

521856420114018 is a wasteful number, since it uses less digits than its factorization.

521856420114018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662672.

The product of its (nonzero) digits is 614400, while the sum is 48.

The spelling of 521856420114018 in words is "five hundred twenty-one trillion, eight hundred fifty-six billion, four hundred twenty million, one hundred fourteen thousand, eighteen".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 307 418 614 627 921 1254 1842 2053 3377 4106 5833 6159 6754 10131 11666 12318 17499 20262 22583 34998 39007 45166 64163 67749 78014 117021 128326 135498 192489 234042 384978 429077 630271 660277 858154 1260542 1287231 1320554 1890813 1980831 2574462 3781626 3961662 6932981 7263047 11975149 12545263 13865962 14526094 20798943 21789141 23950298 25090526 35925447 37635789 41597886 43578282 71850894 75271578 131726639 137997893 202705039 263453278 275995786 395179917 405410078 413993679 608115117 790359834 827987358 1216230234 1355548681 2229755429 2711097362 3851395741 4066646043 4459510858 6689266287 7702791482 8133292086 11554187223 13378532574 14911035491 23108374446 25755424939 29822070982 42365353151 44733106473 51510849878 77266274817 84730706302 89466212946 127096059453 154532549634 254192118906 283309674329 416153445067 566619348658 832306890134 849929022987 1248460335201 1699858045974 2496920670402 4577687895737 7906915456273 9155375791474 13733063687211 15813830912546 23720746368819 27466127374422 47441492737638 86976070019003 173952140038006 260928210057009 521856420114018