Search a number
-
+
21385677084395 = 5132533133674157
BaseRepresentation
bin1001101110011001111011…
…01011111001011011101011
32210201110011121100210121212
410313030331223321123223
510300340331313200040
6113252235555023335
74335031004632331
oct467147553713353
983643147323555
1021385677084395
1168a5684210898
12249482bb9ab4b
13bc1878719700
1453d102533b51
15271455878d65
hex13733daf96eb

21385677084395 has 96 divisors (see below), whose sum is σ = 28487743587072. Its totient is φ = 15399235178496.

The previous prime is 21385677084391. The next prime is 21385677084407. The reversal of 21385677084395 is 59348077658312.

It is not a de Polignac number, because 21385677084395 - 22 = 21385677084391 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21385677084391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5144495657 + ... + 5144499813.

It is an arithmetic number, because the mean of its divisors is an integer number (296747329032).

It is a 2-persistent number, because it is pandigital, and so is 2⋅21385677084395 = 42771354168790, but 3⋅21385677084395 = 64157031253185 is not.

Almost surely, 221385677084395 is an apocalyptic number.

21385677084395 is a deficient number, since it is larger than the sum of its proper divisors (7102066502677).

21385677084395 is a wasteful number, since it uses less digits than its factorization.

21385677084395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4921 (or 4908 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 68.

The spelling of 21385677084395 in words is "twenty-one trillion, three hundred eighty-five billion, six hundred seventy-seven million, eighty-four thousand, three hundred ninety-five".

Divisors: 1 5 13 53 65 169 265 313 367 689 845 1565 1835 3445 4069 4157 4771 8957 16589 19451 20345 20785 23855 44785 52897 54041 62023 82945 97255 114871 215657 220321 252863 264485 270205 310115 574355 702533 1078285 1101605 1264315 1301141 1493323 1525619 2803541 2864173 3287219 3512665 6088163 6505705 7466615 7628095 14017705 14320865 16436095 16914833 19413199 19833047 30440815 37234249 68960473 79146119 80857807 84574165 97065995 99165235 186171245 219892829 257829611 344802365 395730595 404289035 477518747 896486149 1028899547 1051151491 1099464145 1289148055 2387593735 4482430745 5144497735 5255757455 6207743711 11654319937 13664969383 25308493591 31038718555 58271599685 68324846915 80700668243 126542467955 329010416683 403503341215 1645052083415 4277135416879 21385677084395