Search a number
-
+
85644311181 = 311133743179701
BaseRepresentation
bin100111111000011001…
…1000111101010001101
322012001200212210100020
41033300303013222031
52400344420424211
6103202222452353
76121226430222
oct1176063075215
9265050783306
1085644311181
1133359a87670
12147221340b9
1380cb605210
144206639949
152363c97306
hex13f0cc7a8d

85644311181 has 128 divisors (see below), whose sum is σ = 141976074240. Its totient is φ = 45214848000.

The previous prime is 85644311149. The next prime is 85644311209. The reversal of 85644311181 is 18111344658.

It is not a de Polignac number, because 85644311181 - 25 = 85644311149 is a prime.

It is a super-2 number, since 2×856443111812 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85644311381) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122174131 + ... + 122174831.

It is an arithmetic number, because the mean of its divisors is an integer number (1109188080).

Almost surely, 285644311181 is an apocalyptic number.

It is an amenable number.

85644311181 is a deficient number, since it is larger than the sum of its proper divisors (56331763059).

85644311181 is a wasteful number, since it uses less digits than its factorization.

85644311181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987.

The product of its digits is 92160, while the sum is 42.

The spelling of 85644311181 in words is "eighty-five billion, six hundred forty-four million, three hundred eleven thousand, one hundred eighty-one".

Divisors: 1 3 11 13 33 37 39 43 111 129 143 179 407 429 473 481 537 559 701 1221 1419 1443 1591 1677 1969 2103 2327 4773 5291 5907 6149 6623 6981 7697 7711 9113 15873 17501 18447 19869 20683 23091 23133 25597 25937 27339 30143 52503 62049 72853 76791 77811 84667 86099 90429 100061 100243 125479 218559 227513 254001 258297 284789 285307 300183 300729 331573 337181 376437 391859 682539 854367 855921 947089 994719 1011543 1100671 1115291 1175577 1380269 1631227 2841267 3132679 3302013 3345873 3702257 3708991 4140807 4310449 4642723 4893681 5395597 9398037 11106771 11126973 12268201 12931347 13928169 14498783 16186791 17943497 36804603 40724827 43496349 51069953 53830491 59351567 60355399 70142761 122174481 153209859 159486613 178054701 181066197 199637089 210428283 478459839 598911267 663909389 771570371 1991728167 2196007979 2314711113 2595282157 6588023937 7785846471 28548103727 85644311181