Search a number
-
+
2118188130084 = 22321341142777359
BaseRepresentation
bin11110110100101101110…
…110011101111100100100
321111111102011122221012100
4132310231312131330210
5234201022130130314
64301025430452100
7306014451014625
oct36645566357444
97444364587170
102118188130084
11747355a84254
122a2628b04030
1312498a263960
147474130da4c
153a173d82c09
hex1ed2dd9df24

2118188130084 has 144 divisors (see below), whose sum is σ = 5911033040640. Its totient is φ = 635400046080.

The previous prime is 2118188130083. The next prime is 2118188130103. The reversal of 2118188130084 is 4800318818112.

It is not an unprimeable number, because it can be changed into a prime (2118188130083) 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, 27342597 + ... + 27419955.

It is an arithmetic number, because the mean of its divisors is an integer number (41048840560).

Almost surely, 22118188130084 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 2118188130084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955516520320).

2118188130084 is an abundant number, since it is smaller than the sum of its proper divisors (3792844910556).

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

2118188130084 is a wasteful number, since it uses less digits than its factorization.

2118188130084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78850 (or 78845 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 45.

The spelling of 2118188130084 in words is "two trillion, one hundred eighteen billion, one hundred eighty-eight million, one hundred thirty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 117 123 156 164 234 246 369 468 492 533 738 1066 1427 1476 1599 2132 2854 3198 4281 4797 5708 6396 8562 9594 12843 17124 18551 19188 25686 37102 51372 55653 58507 74204 77359 111306 117014 154718 166959 175521 222612 232077 234028 309436 333918 351042 464154 526563 667836 696231 702084 760591 928308 1005667 1053126 1392462 1521182 2011334 2106252 2281773 2784924 3017001 3042364 3171719 4022668 4563546 6034002 6343438 6845319 9051003 9127092 9515157 12068004 12686876 13690638 18102006 19030314 27381276 28545471 36204012 38060628 41232347 57090942 82464694 110391293 114181884 123697041 164929388 220782586 247394082 331173879 371091123 441565172 494788164 662347758 742182246 993521637 1324695516 1435086809 1484364492 1987043274 2870173618 3974086548 4305260427 4526043013 5740347236 8610520854 9052086026 12915781281 13578129039 17221041708 18104172052 25831562562 27156258078 40734387117 51663125124 54312516156 58838559169 81468774234 117677118338 162937548468 176515677507 235354236676 353031355014 529547032521 706062710028 1059094065042 2118188130084