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18738060224 = 261321924799
BaseRepresentation
bin10001011100111000…
…000001101111000000
31210100212222002022112
4101130320001233000
5301333420411344
612335205354452
71232226612122
oct213470015700
953325862275
1018738060224
117a46167a94
12376b408a28
1319c8107600
14c9a871212
1574a097c9e
hex45ce01bc0

18738060224 has 126 divisors (see below), whose sum is σ = 42503140800. Its totient is φ = 8191452672.

The previous prime is 18738060217. The next prime is 18738060227. The reversal of 18738060224 is 42206083781.

It is a super-2 number, since 2×187380602242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18738060227) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3902177 + ... + 3906975.

Almost surely, 218738060224 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 18738060224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21251570400).

18738060224 is an abundant number, since it is smaller than the sum of its proper divisors (23765080576).

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

18738060224 is a wasteful number, since it uses less digits than its factorization.

18738060224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4875 (or 4833 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 18738060224 in words is "eighteen billion, seven hundred thirty-eight million, sixty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 169 208 247 304 338 361 416 494 608 676 722 832 988 1216 1352 1444 1976 2704 2888 3211 3952 4693 4799 5408 5776 6422 7904 9386 9598 10816 11552 12844 15808 18772 19196 23104 25688 37544 38392 51376 61009 62387 75088 76784 91181 102752 122018 124774 150176 153568 182362 205504 244036 249548 300352 307136 364724 488072 499096 729448 811031 976144 998192 1185353 1458896 1622062 1732439 1952288 1996384 2370706 2917792 3244124 3464878 3904576 3992768 4741412 5835584 6488248 6929756 9482824 12976496 13859512 15409589 18965648 22521707 25952992 27719024 30819178 37931296 45043414 51905984 55438048 61638356 75862592 90086828 110876096 123276712 180173656 246553424 292782191 360347312 493106848 585564382 720694624 986213696 1171128764 1441389248 2342257528 4684515056 9369030112 18738060224