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18993365448 = 2333121376011
BaseRepresentation
bin10001101100000101…
…111100000111001000
31211000200100221020120
4101230011330013020
5302344300143243
612420405423240
71241446641201
oct215405740710
954020327216
1018993365448
118067294642
123820a0ab20
131a38c869a5
14cc272c5a8
157626c8c83
hex46c17c1c8

18993365448 has 96 divisors (see below), whose sum is σ = 49430904480. Its totient is φ = 6081158400.

The previous prime is 18993365441. The next prime is 18993365459. The reversal of 18993365448 is 84456339981.

It is a junction number, because it is equal to n+sod(n) for n = 18993365391 and 18993365400.

It is not an unprimeable number, because it can be changed into a prime (18993365441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3156763 + ... + 3162773.

It is an arithmetic number, because the mean of its divisors is an integer number (514905255).

Almost surely, 218993365448 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 18993365448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24715452240).

18993365448 is an abundant number, since it is smaller than the sum of its proper divisors (30437539032).

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

18993365448 is a wasteful number, since it uses less digits than its factorization.

18993365448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6219 (or 6184 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 60.

The spelling of 18993365448 in words is "eighteen billion, nine hundred ninety-three million, three hundred sixty-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 137 186 248 274 372 411 548 744 822 961 1096 1644 1922 2883 3288 3844 4247 5766 6011 7688 8494 11532 12022 12741 16988 18033 23064 24044 25482 33976 36066 48088 50964 72132 101928 131657 144264 186341 263314 372682 394971 526628 559023 745364 789942 823507 1053256 1118046 1490728 1579884 1647014 2236092 2470521 3159768 3294028 4472184 4941042 5776571 6588056 9882084 11553142 17329713 19764168 23106284 25528717 34659426 46212568 51057434 69318852 76586151 102114868 138637704 153172302 204229736 306344604 612689208 791390227 1582780454 2374170681 3165560908 4748341362 6331121816 9496682724 18993365448