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28018537908516 = 223229410492
BaseRepresentation
bin1100101111011100100101…
…11111111100100100100100
310200012112202002012020022100
412113232102333330210210
512133023431201033031
6135331312201532100
75621162326454511
oct627562277744444
9120175662166270
1028018537908516
118a22660231321
12318621b7a4030
1312831a16a411c
146cc16694a308
15338c5e509de6
hex197b92ffc924

28018537908516 has 135 divisors (see below), whose sum is σ = 73424079546181. Its totient is φ = 9008864231808.

The previous prime is 28018537908509. The next prime is 28018537908523. The reversal of 28018537908516 is 61580973581082.

The square root of 28018537908516 is 5293254.

It is a perfect power (a square), and thus also a powerful number.

28018537908516 is a `hidden beast` number, since 2 + 8 + 0 + 1 + 8 + 537 + 9 + 0 + 85 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (28018537908509) and next prime (28018537908523).

It can be written as a sum of positive squares in 7 ways, for example, as 1868814766116 + 26149723142400 = 1367046^2 + 5113680^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26709759160 + ... + 26709760208.

Almost surely, 228018537908516 is an apocalyptic number.

28018537908516 is the 5293254-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28018537908516

28018537908516 is an abundant number, since it is smaller than the sum of its proper divisors (45405541637665).

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

28018537908516 is an frugal number, since it uses more digits than its factorization.

28018537908516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 28018537908516 in words is "twenty-eight trillion, eighteen billion, five hundred thirty-seven million, nine hundred eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1049 1682 2098 2523 3147 3364 4196 5046 6294 7569 9441 10092 12588 15138 18882 24389 30276 30421 37764 48778 60842 73167 91263 97556 121684 146334 182526 219501 273789 292668 365052 439002 547578 707281 878004 882209 1095156 1100401 1414562 1764418 2121843 2200802 2646627 2829124 3301203 3528836 4243686 4401604 5293254 6365529 6602406 7939881 8487372 9903609 10586508 12731058 13204812 15879762 19807218 25462116 25584061 31759524 31911629 39614436 51168122 63823258 76752183 95734887 102336244 127646516 153504366 191469774 230256549 287204661 307008732 382939548 460513098 574409322 741937769 921026196 925437241 1148818644 1483875538 1850874482 2225813307 2776311723 2967751076 3701748964 4451626614 5552623446 6677439921 8328935169 8903253228 11105246892 13354879842 16657870338 26709759684 26837679989 33315740676 53675359978 80513039967 107350719956 161026079934 241539119901 322052159868 483078239802 778292719681 966156479604 1556585439362 2334878159043 3113170878724 4669756318086 7004634477129 9339512636172 14009268954258 28018537908516