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18011627106 = 23111923727859
BaseRepresentation
bin10000110001100100…
…111001111001100010
31201111021001110102020
4100301210321321202
5243341434031411
612135135402310
71205226206244
oct206144717142
951437043366
1018011627106
117703104040
1235a8083396
131910771925
14c2c1b6094
15706403606
hex431939e62

18011627106 has 128 divisors (see below), whose sum is σ = 43274649600. Its totient is φ = 4933431360.

The previous prime is 18011627027. The next prime is 18011627131. The reversal of 18011627106 is 60172611081.

It is a happy number.

It is a super-2 number, since 2×180116271062 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20967705 + ... + 20968563.

It is an arithmetic number, because the mean of its divisors is an integer number (338083200).

Almost surely, 218011627106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18011627106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21637324800).

18011627106 is an abundant number, since it is smaller than the sum of its proper divisors (25263022494).

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

18011627106 is a wasteful number, since it uses less digits than its factorization.

18011627106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644.

The product of its (nonzero) digits is 4032, while the sum is 33.

The spelling of 18011627106 in words is "eighteen billion, eleven million, six hundred twenty-seven thousand, one hundred six".

Divisors: 1 2 3 6 11 19 22 23 33 38 46 57 66 69 114 138 209 253 418 437 506 627 727 759 859 874 1254 1311 1454 1518 1718 2181 2577 2622 4362 4807 5154 7997 9449 9614 13813 14421 15994 16321 16721 18898 19757 23991 27626 28347 28842 32642 33442 39514 41439 47982 48963 50163 56694 59271 82878 97926 100326 118542 151943 179531 183931 217327 303886 317699 359062 367862 375383 434654 455829 538593 551793 624493 635398 651981 750766 911658 953097 1077186 1103586 1126149 1248986 1303962 1873479 1906194 2252298 3494689 3746958 4129213 6869423 6989378 8258426 10484067 11865367 12387639 13738846 14363339 20608269 20968134 23730734 24775278 28726678 35596101 41216538 43090017 71192202 86180034 130519037 157996729 261038074 272903441 315993458 391557111 473990187 545806882 783114222 818710323 947980374 1637420646 3001937851 6003875702 9005813553 18011627106