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18924646068 = 22324767971721
BaseRepresentation
bin10001100111111111…
…110010111010110100
31210211220001121222100
4101213333302322310
5302224202133233
612405512502100
71236653560146
oct214777627264
953756047870
1018924646068
118031518769
1238019aa930
131a27976033
14cb7560c96
1575b652813
hex467ff2eb4

18924646068 has 144 divisors (see below), whose sum is σ = 50124582144. Its totient is φ = 6015651840.

The previous prime is 18924645997. The next prime is 18924646093. The reversal of 18924646068 is 86064642981.

18924646068 is a `hidden beast` number, since 1 + 8 + 9 + 24 + 6 + 4 + 606 + 8 = 666.

It is a super-3 number, since 3×189246460683 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10995448 + ... + 10997168.

It is an arithmetic number, because the mean of its divisors is an integer number (348087376).

Almost surely, 218924646068 is an apocalyptic number.

18924646068 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 18924646068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25062291072).

18924646068 is an abundant number, since it is smaller than the sum of its proper divisors (31199936076).

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

18924646068 is a wasteful number, since it uses less digits than its factorization.

18924646068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 18924646068 in words is "eighteen billion, nine hundred twenty-four million, six hundred forty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 67 94 97 134 141 188 194 201 268 282 291 388 402 423 564 582 603 804 846 873 1164 1206 1692 1721 1746 2412 3149 3442 3492 4559 5163 6298 6499 6884 9118 9447 10326 12596 12998 13677 15489 18236 18894 19497 20652 25996 27354 28341 30978 37788 38994 41031 54708 56682 58491 61956 77988 80887 82062 113364 115307 116982 161774 164124 166937 230614 233964 242661 305453 323548 333874 345921 461228 485322 500811 610906 667748 691842 727983 916359 970644 1001622 1037763 1221812 1383684 1455966 1502433 1832718 2003244 2075526 2749077 2911932 3004866 3665436 4151052 5419429 5498154 6009732 7846039 10838858 10996308 11184779 15692078 16258287 21677716 22369558 23538117 31384156 32516574 33554337 44739116 47076234 48774861 65033148 67108674 70614351 94152468 97549722 100663011 134217348 141228702 195099444 201326022 282457404 402652044 525684613 1051369226 1577053839 2102738452 3154107678 4731161517 6308215356 9462323034 18924646068