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89035995321 = 327213210932
BaseRepresentation
bin101001011101011110…
…1010111100010111001
322111211001221012022100
41102322331113202321
52424321203322241
6104522542214013
76301252321200
oct1227275274271
9274731835270
1089035995321
113483a553109
1215309b84309
13851c1a8c00
144448c80237
1524b190a9b6
hex14baf578b9

89035995321 has 81 divisors (see below), whose sum is σ = 162146338029. Its totient is φ = 46921073472.

The previous prime is 89035995289. The next prime is 89035995343. The reversal of 89035995321 is 12359953098.

The square root of 89035995321 is 298389.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6506196921 + 82529798400 = 80661^2 + 287280^2 .

It is not a de Polignac number, because 89035995321 - 25 = 89035995289 is a prime.

It is a super-2 number, since 2×890359953212 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (89035995121) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 81459651 + ... + 81460743.

Almost surely, 289035995321 is an apocalyptic number.

89035995321 is the 298389-th square number.

89035995321 is the 149195-th centered octagonal number.

It is an amenable number.

89035995321 is a deficient number, since it is larger than the sum of its proper divisors (73110342708).

89035995321 is a wasteful number, since it uses less digits than its factorization.

89035995321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 89035995321 in words is "eighty-nine billion, thirty-five million, nine hundred ninety-five thousand, three hundred twenty-one".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 169 273 441 507 637 819 1093 1183 1521 1911 3279 3549 5733 7651 8281 9837 10647 14209 22953 24843 42627 53557 68859 74529 99463 127881 160671 184717 298389 482013 554151 696241 895167 1194649 1293019 1662453 2088723 3583947 3879057 6266169 8362543 9051133 10751841 11637171 15530437 25087629 27153399 46591311 58537801 75262887 81460197 108713059 139773933 175613403 201895681 326139177 526840209 605687043 760991413 978417531 1413269767 1817061129 2282974239 4239809301 6848922717 9892888369 12719427903 29678665107 89035995321