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18212176864 = 257797102013
BaseRepresentation
bin10000111101100001…
…111100001111100000
31202000020102102222001
4100331201330033200
5244244304124424
612211102053344
71213212643360
oct207541741740
952006372861
1018212176864
1177a6332042
12364327a254
13194318c21b
14c4aa9c9a0
15718d1a844
hex43d87c3e0

18212176864 has 48 divisors (see below), whose sum is σ = 41029214688. Its totient is φ = 7795348992.

The previous prime is 18212176859. The next prime is 18212176909. The reversal of 18212176864 is 46867121281.

It is a super-2 number, since 2×182121768642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127522 + ... + 229534.

It is an arithmetic number, because the mean of its divisors is an integer number (854775306).

Almost surely, 218212176864 is an apocalyptic number.

18212176864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18212176864 is an abundant number, since it is smaller than the sum of its proper divisors (22817037824).

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

18212176864 is a wasteful number, since it uses less digits than its factorization.

18212176864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102827 (or 102819 counting only the distinct ones).

The product of its digits is 258048, while the sum is 46.

The spelling of 18212176864 in words is "eighteen billion, two hundred twelve million, one hundred seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 797 1594 3188 5579 6376 11158 12752 22316 25504 44632 89264 102013 178528 204026 408052 714091 816104 1428182 1632208 2856364 3264416 5712728 11425456 22850912 81304361 162608722 325217444 569130527 650434888 1138261054 1300869776 2276522108 2601739552 4553044216 9106088432 18212176864