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18427599168 = 26311372109
BaseRepresentation
bin10001001010010111…
…101101100101000000
31202120020210000210220
4101022113231211000
5300214431133133
612244315223040
71221440002626
oct211227554500
952506700726
1018427599168
1178a6999000
1236a3447a80
1319789b6144
14c6b537516
1572cbbe5b3
hex44a5ed940

18427599168 has 112 divisors (see below), whose sum is σ = 53629072320. Its totient is φ = 5584043520.

The previous prime is 18427599143. The next prime is 18427599193. The reversal of 18427599168 is 86199572481.

It is an interprime number because it is at equal distance from previous prime (18427599143) and next prime (18427599193).

It is a super-2 number, since 2×184275991682 (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 15 ways as a sum of consecutive naturals, for example, 219498 + ... + 291606.

Almost surely, 218427599168 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 18427599168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26814536160).

18427599168 is an abundant number, since it is smaller than the sum of its proper divisors (35201473152).

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

18427599168 is an equidigital number, since it uses as much as digits as its factorization.

18427599168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72157 (or 72125 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 60.

The spelling of 18427599168 in words is "eighteen billion, four hundred twenty-seven million, five hundred ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1331 1452 1936 2112 2662 2904 3872 3993 5324 5808 7744 7986 10648 11616 15972 21296 23232 31944 42592 63888 72109 85184 127776 144218 216327 255552 288436 432654 576872 793199 865308 1153744 1586398 1730616 2307488 2379597 3172796 3461232 4614976 4759194 6345592 6922464 8725189 9518388 12691184 13844928 17450378 19036776 25382368 26175567 34900756 38073552 50764736 52351134 69801512 76147104 95977079 104702268 139603024 152294208 191954158 209404536 279206048 287931237 383908316 418809072 558412096 575862474 767816632 837618144 1151724948 1535633264 1675236288 2303449896 3071266528 4606899792 6142533056 9213799584 18427599168