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81442888824418 = 211315338915833659
BaseRepresentation
bin10010100001001001100110…
…011101010011011001100010
3101200100212022221201211201021
4102201021212131103121202
541133330014014340133
6445114202511400054
723104024464554662
oct2241114635233142
9350325287654637
1081442888824418
1123a4a80a590a70
12917421682302a
13365a0541786b4
141617bdd2b41a2
159637b2eb352d
hex4a1266753662

81442888824418 has 128 divisors (see below), whose sum is σ = 140652387532800. Its totient is φ = 35027287276800.

The previous prime is 81442888824383. The next prime is 81442888824439.

81442888824418 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22258235073 + ... + 22258238731.

It is an arithmetic number, because the mean of its divisors is an integer number (1098846777600).

Almost surely, 281442888824418 is an apocalyptic number.

81442888824418 is a deficient number, since it is larger than the sum of its proper divisors (59209498708382).

81442888824418 is a wasteful number, since it uses less digits than its factorization.

81442888824418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728.

The product of its digits is 268435456, while the sum is 70.

The spelling of 81442888824418 in words is "eighty-one trillion, four hundred forty-two billion, eight hundred eighty-eight million, eight hundred twenty-four thousand, four hundred eighteen".

Divisors: 1 2 11 22 31 53 62 106 341 389 583 682 778 1166 1583 1643 3166 3286 3659 4279 7318 8558 12059 17413 18073 20617 24118 34826 36146 40249 41234 49073 80498 83899 98146 113429 132649 167798 193927 226787 226858 265298 387854 453574 539803 615787 639127 922889 1079606 1231574 1247719 1278254 1423351 1845778 2133197 2495438 2600869 2846702 4266394 5201738 5792197 6011737 6773657 7030397 11584394 12023474 13547314 14060794 15656861 19089397 28609559 31313722 32636711 38178794 44123881 57219118 63714167 65273422 66129107 75437603 88247762 127428334 132258214 150875206 179558107 209983367 306986441 359003821 359116214 419966734 485362691 613972882 718007642 829813633 970725382 1011738041 1659627266 1975139177 2023476082 2253164633 2338565693 3376850851 3950278354 4506329266 4677131386 6753701702 9516579671 11129118451 19033159342 22258236902 24784810963 25724222623 49569621926 51448445246 69848103623 104682376381 119417725549 139696207246 209364752762 238835451098 768329139853 1313594981039 1536658279706 2627189962078 3701949492019 7403898984038 40721444412209 81442888824418