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84358302093 = 331310911811867
BaseRepresentation
bin100111010010000100…
…1011000100110001101
322001202002000202112000
41032210021120212031
52340231211131333
6102430443102513
76044322510462
oct1164411304615
9261662022460
1084358302093
113285a075a3a
1214423511a39
137c550584b0
14412391b669
1522dae1c713
hex13a425898d

84358302093 has 64 divisors (see below), whose sum is σ = 136011321600. Its totient is φ = 51365456640.

The previous prime is 84358302031. The next prime is 84358302131. The reversal of 84358302093 is 39020385348.

84358302093 is a `hidden beast` number, since 8 + 43 + 583 + 0 + 20 + 9 + 3 = 666.

It is not a de Polignac number, because 84358302093 - 232 = 80063334797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84358302893) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45182946 + ... + 45184812.

It is an arithmetic number, because the mean of its divisors is an integer number (2125176900).

Almost surely, 284358302093 is an apocalyptic number.

It is an amenable number.

84358302093 is a deficient number, since it is larger than the sum of its proper divisors (51653019507).

84358302093 is a wasteful number, since it uses less digits than its factorization.

84358302093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3179 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 84358302093 in words is "eighty-four billion, three hundred fifty-eight million, three hundred two thousand, ninety-three".

Divisors: 1 3 9 13 27 39 109 117 327 351 981 1181 1417 1867 2943 3543 4251 5601 10629 12753 15353 16803 24271 31887 38259 46059 50409 72813 128729 138177 203503 218439 386187 414531 610509 655317 1158561 1673477 1831527 2204927 2645539 3475683 5020431 5494581 6614781 7936617 15061293 19844343 23809851 28664051 45183879 59533029 71429553 85992153 240337043 257976459 721011129 773929377 2163033387 3124381559 6489100161 9373144677 28119434031 84358302093