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5765205990384 = 243350396727437
BaseRepresentation
bin101001111100101000100…
…0011100001101111110000
3202102011000010012001011000
41103321101003201233300
51223424120213143014
620132255444322000
71133344115234661
oct123712103415760
922364003161130
105765205990384
111923012534905
127914039a3300
1332a86c6c0a69
1415d074b03368
159ee760c2509
hex53e510e1bf0

5765205990384 has 160 divisors (see below), whose sum is σ = 16598927600640. Its totient is φ = 1915861586688.

The previous prime is 5765205990377. The next prime is 5765205990409. The reversal of 5765205990384 is 4830995025675.

5765205990384 is a `hidden beast` number, since 5 + 7 + 6 + 5 + 2 + 0 + 599 + 0 + 38 + 4 = 666.

It is a super-2 number, since 2×57652059903842 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210111514 + ... + 210138950.

It is an arithmetic number, because the mean of its divisors is an integer number (103743297504).

Almost surely, 25765205990384 is an apocalyptic number.

5765205990384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5765205990384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8299463800320).

5765205990384 is an abundant number, since it is smaller than the sum of its proper divisors (10833721610256).

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

5765205990384 is a wasteful number, since it uses less digits than its factorization.

5765205990384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28924 (or 28912 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 5765205990384 in words is "five trillion, seven hundred sixty-five billion, two hundred five million, nine hundred ninety thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 503 967 1006 1509 1934 2012 2901 3018 3868 4024 4527 5802 6036 7736 8048 8703 9054 11604 12072 13581 15472 17406 18108 23208 24144 26109 27162 27437 34812 36216 46416 52218 54324 54874 69624 72432 82311 104436 108648 109748 139248 164622 208872 217296 219496 246933 329244 417744 438992 486401 493866 658488 740799 972802 987732 1316976 1459203 1481598 1945604 1975464 2918406 2963196 3891208 3950928 4377609 5836812 5926392 7782416 8755218 11673624 11852784 13132827 13800811 17510436 23347248 26265654 26531579 27601622 35020872 41402433 52531308 53063158 55203244 70041744 79594737 82804866 105062616 106126316 110406488 124207299 159189474 165609732 210125232 212252632 220812976 238784211 248414598 318378948 331219464 372621897 424505264 477568422 496829196 636757896 662438928 716352633 745243794 955136844 993658392 1273515792 1432705266 1490487588 1910273688 1987316784 2865410532 2980975176 3820547376 5730821064 5961950352 11461642128 13345384237 26690768474 40036152711 53381536948 80072305422 106763073896 120108458133 160144610844 213526147792 240216916266 320289221688 360325374399 480433832532 640578443376 720650748798 960867665064 1441301497596 1921735330128 2882602995192 5765205990384