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84669084936 = 233217421164309
BaseRepresentation
bin100111011011010101…
…0111011010100001000
322002112201211011102200
41032312222323110020
52341400241204221
6102521344200200
76055115230062
oct1166652732410
9262481734380
1084669084936
11329a9544767
12144ab609060
137ca4560277
144152cda732
15230835b426
hex13b6abb508

84669084936 has 96 divisors (see below), whose sum is σ = 243379258200. Its totient is φ = 26499594240.

The previous prime is 84669084923. The next prime is 84669084961. The reversal of 84669084936 is 63948096648.

84669084936 is a `hidden beast` number, since 8 + 466 + 9 + 0 + 84 + 93 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27353852100 + 57315232836 = 165390^2 + 239406^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433150 + ... + 597458.

Almost surely, 284669084936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84669084936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121689629100).

84669084936 is an abundant number, since it is smaller than the sum of its proper divisors (158710173264).

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

84669084936 is a wasteful number, since it uses less digits than its factorization.

84669084936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164759 (or 164752 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 84669084936 in words is "eighty-four billion, six hundred sixty-nine million, eighty-four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 421 612 842 1224 1263 1684 2526 3368 3789 5052 7157 7578 10104 14314 15156 21471 28628 30312 42942 57256 64413 85884 128826 164309 171768 257652 328618 492927 515304 657236 985854 1314472 1478781 1971708 2793253 2957562 3943416 5586506 5915124 8379759 11173012 11830248 16759518 22346024 25139277 33519036 50278554 67038072 69174089 100557108 138348178 201114216 207522267 276696356 415044534 553392712 622566801 830089068 1175959513 1245133602 1660178136 2351919026 2490267204 3527878539 4703838052 4980534408 7055757078 9407676104 10583635617 14111514156 21167271234 28223028312 42334542468 84669084936