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18264463668 = 223211232969149
BaseRepresentation
bin10001000000101001…
…011001100100110100
31202010212210212222100
4101000221121210310
5244401200314133
612220210502100
71214416244133
oct210051314464
952125725870
1018264463668
1178228a4980
123658894930
131950c68469
14c539cd91a
1571d6e7e13
hex440a59934

18264463668 has 144 divisors (see below), whose sum is σ = 54368496000. Its totient is φ = 5111420160.

The previous prime is 18264463631. The next prime is 18264463699. The reversal of 18264463668 is 86636446281.

18264463668 is a `hidden beast` number, since 18 + 264 + 4 + 6 + 366 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229558 + ... + 298706.

It is an arithmetic number, because the mean of its divisors is an integer number (377559000).

Almost surely, 218264463668 is an apocalyptic number.

18264463668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18264463668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27184248000).

18264463668 is an abundant number, since it is smaller than the sum of its proper divisors (36104032332).

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

18264463668 is a wasteful number, since it uses less digits than its factorization.

18264463668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69222 (or 69217 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 18264463668 in words is "eighteen billion, two hundred sixty-four million, four hundred sixty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 29 33 36 44 46 58 66 69 87 92 99 116 132 138 174 198 207 253 261 276 319 348 396 414 506 522 638 667 759 828 957 1012 1044 1276 1334 1518 1914 2001 2277 2668 2871 3036 3828 4002 4554 5742 6003 7337 8004 9108 11484 12006 14674 22011 24012 29348 44022 66033 69149 88044 132066 138298 207447 264132 276596 414894 622341 760639 829788 1244682 1521278 1590427 2005321 2281917 2489364 3042556 3180854 4010642 4563834 4771281 6015963 6361708 6845751 8021284 9127668 9542562 12031926 13691502 14313843 17494697 18047889 19085124 22058531 24063852 27383004 28627686 34989394 36095778 44117062 46122383 52484091 57255372 66175593 69978788 72191556 88234124 92244766 104968182 132351186 138367149 157452273 184489532 198526779 209936364 264702372 276734298 314904546 397053558 415101447 507346213 553468596 629809092 794107116 830202894 1014692426 1522038639 1660405788 2029384852 3044077278 4566115917 6088154556 9132231834 18264463668