Search a number
-
+
8169540403908 = 22313192449323087
BaseRepresentation
bin111011011100001111010…
…0011011100001011000100
31001221000000022120021200010
41312320132203130023010
52032322204320411113
625213011323150220
71502141553450132
oct166703643341304
931830008507603
108169540403908
11266a756640024
12abb38a675370
134734cc5717a0
1420359d27a752
15e27962791c3
hex76e1e8dc2c4

8169540403908 has 144 divisors (see below), whose sum is σ = 21714227539200. Its totient is φ = 2376093339648.

The previous prime is 8169540403907. The next prime is 8169540403909. The reversal of 8169540403908 is 8093040459618.

It is an interprime number because it is at equal distance from previous prime (8169540403907) and next prime (8169540403909).

It is a super-2 number, since 2×81695404039082 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (8169540403907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25124341 + ... + 25447427.

It is an arithmetic number, because the mean of its divisors is an integer number (150793246800).

Almost surely, 28169540403908 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8169540403908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10857113769600).

8169540403908 is an abundant number, since it is smaller than the sum of its proper divisors (13544687135292).

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

8169540403908 is a wasteful number, since it uses less digits than its factorization.

8169540403908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323594 (or 323573 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 8169540403908 in words is "eight trillion, one hundred sixty-nine billion, five hundred forty million, four hundred three thousand, nine hundred eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 361 449 494 722 741 898 988 1083 1347 1444 1482 1796 2166 2694 2964 4332 4693 5388 5837 8531 9386 11674 14079 17062 17511 18772 23348 25593 28158 34124 35022 51186 56316 70044 102372 110903 162089 221806 323087 324178 332709 443612 486267 646174 648356 665418 969261 972534 1292348 1330836 1938522 1945068 2107157 3877044 4200131 4214314 6138653 6321471 8400262 8428628 12277306 12600393 12642942 16800524 18415959 24554612 25200786 25285884 36831918 50401572 73663836 79802489 116634407 145066063 159604978 233268814 239407467 290132126 319209956 349903221 435198189 466537628 478814934 580264252 699806442 870396378 957629868 1399612884 1516247291 1740792756 1885858819 2756255197 3032494582 3771717638 4548741873 5512510394 5657576457 6064989164 7543435276 8268765591 9097483746 11025020788 11315152914 16537531182 18194967492 22630305828 33075062364 35831317561 52368848743 71662635122 104737697486 107493952683 143325270244 157106546229 209475394972 214987905366 314213092458 429975810732 628426184916 680795033659 1361590067318 2042385100977 2723180134636 4084770201954 8169540403908