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18218196906 = 23713414791699
BaseRepresentation
bin10000111101111000…
…111001111110101010
31202000122202021220120
4100331320321332222
5244302324300111
612211435104110
71213315055460
oct207570717652
952018667816
1018218196906
1177a9773a88
1236452a2036
1319444b9390
14c4b7c8830
15719609406
hex43de39faa

18218196906 has 128 divisors (see below), whose sum is σ = 46061568000. Its totient is φ = 4675069440.

The previous prime is 18218196883. The next prime is 18218196907. The reversal of 18218196906 is 60969181281.

18218196906 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (18218196907) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10722045 + ... + 10723743.

It is an arithmetic number, because the mean of its divisors is an integer number (359856000).

Almost surely, 218218196906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18218196906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23030784000).

18218196906 is an abundant number, since it is smaller than the sum of its proper divisors (27843371094).

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

18218196906 is a wasteful number, since it uses less digits than its factorization.

18218196906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244.

The product of its (nonzero) digits is 373248, while the sum is 51.

The spelling of 18218196906 in words is "eighteen billion, two hundred eighteen million, one hundred ninety-six thousand, nine hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 78 82 91 123 182 246 273 287 479 533 546 574 861 958 1066 1437 1599 1699 1722 2874 3198 3353 3398 3731 5097 6227 6706 7462 10059 10194 11193 11893 12454 18681 19639 20118 22087 22386 23786 35679 37362 39278 43589 44174 58917 66261 69659 71358 87178 117834 130767 132522 137473 139318 154609 208977 255307 261534 274946 309218 412419 417954 463827 487613 510614 765921 813821 824838 905567 927654 975226 1462839 1531842 1627642 1787149 1811134 2441463 2716701 2925678 3574298 4882926 5361447 5433402 5696747 6338969 10579673 10722894 11393494 12677938 17090241 19016907 21159346 31739019 33366661 34180482 38033814 63478038 66733322 74057711 100099983 148115422 200199966 222173133 233566627 433766593 444346266 467133254 700699881 867533186 1301299779 1401399762 2602599558 3036366151 6072732302 9109098453 18218196906