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5859507692164 = 227243240212
BaseRepresentation
bin101010101000100010111…
…0111111110001010000100
3202202011102011110211202111
41111101011313332022010
51232000232432122124
620243453133150404
71143223030413100
oct125210567761204
922664364424674
105859507692164
11195a004376135
127a774132b404
1333671a7a9cb9
1416385d04c900
15a2644e1c494
hex55445dfe284

5859507692164 has 81 divisors (see below), whose sum is σ = 12215174511141. Its totient is φ = 2452207171680.

The previous prime is 5859507692117. The next prime is 5859507692183. The reversal of 5859507692164 is 4612967059585.

The square root of 5859507692164 is 2420642.

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., 347342852164 + 5512164840000 = 589358^2 + 2347800^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5859507692164.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1457224474 + ... + 1457228494.

Almost surely, 25859507692164 is an apocalyptic number.

5859507692164 is the 2420642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5859507692164

5859507692164 is an abundant number, since it is smaller than the sum of its proper divisors (6355666818977).

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

5859507692164 is an frugal number, since it uses more digits than its factorization.

5859507692164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8146 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 67.

The spelling of 5859507692164 in words is "five trillion, eight hundred fifty-nine billion, five hundred seven million, six hundred ninety-two thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 301 602 1204 1849 2107 3698 4021 4214 7396 8042 8428 12943 16084 25886 28147 51772 56294 90601 112588 172903 181202 197029 345806 362404 394058 691612 788116 1210321 2420642 4841284 7434829 8472247 14869658 16168441 16944494 29739316 32336882 33888988 52043803 64673764 104087606 113179087 208175212 226358174 364306621 452716348 695242963 728613242 792253609 1390485926 1457226484 1584507218 2780971852 3169014436 4866700741 9733401482 19466802964 29895447409 34066905187 59790894818 68133810374 119581789636 136267620748 209268131863 418536263726 837072527452 1464876923041 2929753846082 5859507692164