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84361094337 = 3132292672953
BaseRepresentation
bin100111010010001010…
…0000010010011000001
322001202021021121202110
41032210110002103001
52340232420004322
6102431023005533
76044355320232
oct1164424022301
9261667247673
1084361094337
1132860702883
12144244398a9
137c557c5400
144124047089
1522db2bec0c
hex13a45024c1

84361094337 has 72 divisors (see below), whose sum is σ = 128070362784. Its totient is φ = 49359518208.

The previous prime is 84361094329. The next prime is 84361094357. The reversal of 84361094337 is 73349016348.

It is not a de Polignac number, because 84361094337 - 23 = 84361094329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84361094357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28566453 + ... + 28569405.

Almost surely, 284361094337 is an apocalyptic number.

84361094337 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

84361094337 is a deficient number, since it is larger than the sum of its proper divisors (43709268447).

84361094337 is a wasteful number, since it uses less digits than its factorization.

84361094337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 84361094337 in words is "eighty-four billion, three hundred sixty-one million, ninety-four thousand, three hundred thirty-seven".

Divisors: 1 3 13 29 39 67 87 169 201 377 507 841 871 1131 1943 2523 2613 2953 4901 5829 8859 10933 11323 14703 25259 32799 33969 38389 56347 75777 85637 115167 142129 169041 197851 256911 328367 426387 499057 593553 732511 985101 1113281 1497171 2197533 2483473 2572063 3339843 5737679 7450419 7716189 9522643 14472653 17213037 28567929 32285149 33436819 43417959 74589827 96855447 100310457 166392691 223769481 419706937 499178073 969667751 1259120811 2163104983 2909003253 6489314949 28120364779 84361094337