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18730173024 = 253426926863
BaseRepresentation
bin10001011100011001…
…111100001001100000
31210100100010101010000
4101130121330021200
5301324411014044
612334324340000
71232102562303
oct213431741140
953310111100
1018730173024
117a41770242
123768844600
1319c65a5624
14c997bab3a
1574953ad69
hex45c67c260

18730173024 has 120 divisors (see below), whose sum is σ = 55291753440. Its totient is φ = 6219949824.

The previous prime is 18730173013. The next prime is 18730173047. The reversal of 18730173024 is 42037103781.

It is a super-3 number, since 3×187301730243 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 18730173024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 683817 + ... + 710679.

It is an arithmetic number, because the mean of its divisors is an integer number (460764612).

Almost surely, 218730173024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18730173024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27645876720).

18730173024 is an abundant number, since it is smaller than the sum of its proper divisors (36561580416).

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

18730173024 is a wasteful number, since it uses less digits than its factorization.

18730173024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27154 (or 27137 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 18730173024 in words is "eighteen billion, seven hundred thirty million, one hundred seventy-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 269 288 324 432 538 648 807 864 1076 1296 1614 2152 2421 2592 3228 4304 4842 6456 7263 8608 9684 12912 14526 19368 21789 25824 26863 29052 38736 43578 53726 58104 77472 80589 87156 107452 116208 161178 174312 214904 232416 241767 322356 348624 429808 483534 644712 697248 725301 859616 967068 1289424 1450602 1934136 2175903 2578848 2901204 3868272 4351806 5802408 7226147 7736544 8703612 11604816 14452294 17407224 21678441 23209632 28904588 34814448 43356882 57809176 65035323 69628896 86713764 115618352 130070646 173427528 195105969 231236704 260141292 346855056 390211938 520282584 585317907 693710112 780423876 1040565168 1170635814 1560847752 2081130336 2341271628 3121695504 4682543256 6243391008 9365086512 18730173024