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18348435797148 = 22324327457431693
BaseRepresentation
bin1000010110000000100111…
…11111110111010010011100
32101222002112001001010010200
410023000103333313102130
54401110044031002043
6103005053253303500
73602426225643612
oct413002377672234
971862461033120
1018348435797148
115934589734876
122084072034b90
13a31333539a82
144760d75c76b2
1521c44192e7d3
hex10b013ff749c

18348435797148 has 72 divisors (see below), whose sum is σ = 47461229223408. Its totient is φ = 5973677918208.

The previous prime is 18348435797089. The next prime is 18348435797233. The reversal of 18348435797148 is 84179753484381.

It is a happy number.

18348435797148 is a `hidden beast` number, since 1 + 8 + 3 + 4 + 8 + 4 + 3 + 579 + 7 + 1 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42287590 + ... + 42719282.

It is an arithmetic number, because the mean of its divisors is an integer number (659183739214).

Almost surely, 218348435797148 is an apocalyptic number.

18348435797148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18348435797148 is an abundant number, since it is smaller than the sum of its proper divisors (29112793426260).

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

18348435797148 is a wasteful number, since it uses less digits than its factorization.

18348435797148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459203 (or 459198 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 18348435797148 in words is "eighteen trillion, three hundred forty-eight billion, four hundred thirty-five million, seven hundred ninety-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 27457 54914 82371 109828 164742 247113 329484 431693 494226 863386 988452 1180651 1295079 1726772 2361302 2590158 3541953 3885237 4722604 5180316 7083906 7770474 10625859 14167812 15540948 18562799 21251718 37125598 42503436 55688397 74251196 111376794 167065191 222753588 334130382 668260764 11852994701 23705989402 35558984103 47411978804 71117968206 106676952309 142235936412 213353904618 426707809236 509678772143 1019357544286 1529036316429 2038715088572 3058072632858 4587108949287 6116145265716 9174217898574 18348435797148