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20514400540305 = 3571922346111693
BaseRepresentation
bin1001010101000011000011…
…00011101001011010010001
32200122011020211211110110220
410222201201203221122101
510142101443014242210
6111344104022543253
74215054653331630
oct452414143513221
980564224743426
1020514400540305
11659a121328611
1223739b3297b29
13b5a665a10b79
1450cc8bc1d517
1525895ed6ac70
hex12a8618e9691

20514400540305 has 64 divisors (see below), whose sum is σ = 39663434711040. Its totient is φ = 8844591419136.

The previous prime is 20514400540289. The next prime is 20514400540313. The reversal of 20514400540305 is 50304500441502.

It is not a de Polignac number, because 20514400540305 - 24 = 20514400540289 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 22610962 + ... + 23500731.

It is an arithmetic number, because the mean of its divisors is an integer number (619741167360).

Almost surely, 220514400540305 is an apocalyptic number.

It is an amenable number.

20514400540305 is a deficient number, since it is larger than the sum of its proper divisors (19149034170735).

20514400540305 is a wasteful number, since it uses less digits than its factorization.

20514400540305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46111950.

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 20514400540305 its reverse (50304500441502), we get a palindrome (70818900981807).

The spelling of 20514400540305 in words is "twenty trillion, five hundred fourteen billion, four hundred million, five hundred forty thousand, three hundred five".

Divisors: 1 3 5 7 15 19 21 35 57 95 105 133 223 285 399 665 669 1115 1561 1995 3345 4237 4683 7805 12711 21185 23415 29659 63555 88977 148295 444885 46111693 138335079 230558465 322781851 691675395 876122167 968345553 1613909255 2628366501 4380610835 4841727765 6132855169 10282907539 13141832505 18398565507 30664275845 30848722617 51414537695 71980352773 91992827535 154243613085 195375243241 215941058319 359901763865 586125729723 976876216205 1079705291595 1367626702687 2930628648615 4102880108061 6838133513435 20514400540305