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99035460601 = 72112612672
BaseRepresentation
bin101110000111011111…
…0010011001111111001
3100110121221200122221021
41130032332103033321
53110311034214401
6113255105342441
710104122345200
oct1341676231771
9313557618837
1099035460601
1139000a32400
121723a937a21
139453a39b7c
144b16d04237
1528997102a1
hex170ef933f9

99035460601 has 81 divisors (see below), whose sum is σ = 130689852111. Its totient is φ = 74772482400.

The previous prime is 99035460583. The next prime is 99035460613. The reversal of 99035460601 is 10606453099.

The square root of 99035460601 is 314699.

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

It can be written as a sum of positive squares in only one way, i.e., 3220449001 + 95815011600 = 56749^2 + 309540^2 .

It is not a de Polignac number, because 99035460601 - 27 = 99035460473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (99035464601) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 1478141170 + ... + 1478141236.

Almost surely, 299035460601 is an apocalyptic number.

99035460601 is the 314699-th square number.

99035460601 is the 157350-th centered octagonal number.

It is an amenable number.

99035460601 is a deficient number, since it is larger than the sum of its proper divisors (31654391510).

99035460601 is an equidigital number, since it uses as much as digits as its factorization.

99035460601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The spelling of 99035460601 in words is "ninety-nine billion, thirty-five million, four hundred sixty thousand, six hundred one".

Divisors: 1 7 11 49 61 67 77 121 427 469 539 671 737 847 2989 3283 3721 4087 4489 4697 5159 5929 7381 8107 26047 28609 31423 32879 36113 40931 44957 49379 51667 56749 182329 200263 219961 249307 273829 286517 314699 345653 361669 397243 450241 494527 543169 1745149 1916803 2005619 2202893 2419571 2742377 3012119 3151687 3461689 3802183 12216043 13417621 16703569 19196639 21084833 22061809 24231823 26615281 30166147 33133309 116924983 134376473 147593831 183739259 211163029 231933163 818474881 1286174813 1478141203 1623532141 2021131849 9003223691 14147922943 99035460601