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18453828907264 = 282684872
BaseRepresentation
bin1000011001000100111011…
…11010101011000100000000
32102100011120001202211122111
410030202131322223010000
54404321420200013024
6103125323313345104
73613150040414332
oct414423572530400
972304501684574
1018453828907264
115975252367373
1220a0585b68194
13a3b25b47661a
1447b2549d9452
1522005e372a94
hex10c89deab100

18453828907264 has 27 divisors (see below), whose sum is σ = 36835709742727. Its totient is φ = 9226880087296.

The previous prime is 18453828907223. The next prime is 18453828907309. The reversal of 18453828907264 is 46270982835481.

The square root of 18453828907264 is 4295792.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18453828907264.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 68598429 + ... + 68866915.

It is a 2-persistent number, because it is pandigital, and so is 2⋅18453828907264 = 36907657814528, but 3⋅18453828907264 = 55361486721792 is not.

Almost surely, 218453828907264 is an apocalyptic number.

18453828907264 is the 4295792-nd square number.

It is an amenable number.

18453828907264 is a deficient number, since it is larger than the sum of its proper divisors (18381880835463).

18453828907264 is an frugal number, since it uses more digits than its factorization.

18453828907264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536990 (or 268489 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 67.

The spelling of 18453828907264 in words is "eighteen trillion, four hundred fifty-three billion, eight hundred twenty-eight million, nine hundred seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 268487 536974 1073948 2147896 4295792 8591584 17183168 34366336 68732672 72085269169 144170538338 288341076676 576682153352 1153364306704 2306728613408 4613457226816 9226914453632 18453828907264