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18003123124 = 22721941117911
BaseRepresentation
bin10000110001000100…
…011101101110110100
31201110200001102010221
4100301010131232310
5243332244414444
612134233224124
71205064010300
oct206104355664
951420042127
1018003123124
1176a9325958
1235a5262044
13190ba84c9c
14c2b000d00
157057c3a84
hex43111dbb4

18003123124 has 72 divisors (see below), whose sum is σ = 39519385920. Its totient is φ = 7131196800.

The previous prime is 18003123119. The next prime is 18003123137. The reversal of 18003123124 is 42132130081.

It is a happy number.

It is a super-2 number, since 2×180031231242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93729 + ... + 211639.

It is an arithmetic number, because the mean of its divisors is an integer number (548880360).

Almost surely, 218003123124 is an apocalyptic number.

18003123124 is a gapful number since it is divisible by the number (14) 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 18003123124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19759692960).

18003123124 is an abundant number, since it is smaller than the sum of its proper divisors (21516262796).

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

18003123124 is a wasteful number, since it uses less digits than its factorization.

18003123124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117989 (or 117980 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 18003123124 in words is "eighteen billion, three million, one hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 38 41 49 76 82 98 133 164 196 266 287 532 574 779 931 1148 1558 1862 2009 3116 3724 4018 5453 8036 10906 21812 38171 76342 117911 152684 235822 471644 825377 1650754 2240309 3301508 4480618 4834351 5777639 8961236 9668702 11555278 15682163 19337404 23110556 31364326 33840457 62728652 67680914 91852669 109775141 135361828 183705338 219550282 236883199 367410676 439100564 473766398 642968683 947532796 1285937366 2571874732 4500780781 9001561562 18003123124