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434544454434654 = 232199547221779451
BaseRepresentation
bin110001011001101110100001…
…1110110000111111101011110
32002222121001012011201112220100
41202303131003312013331132
5423424034020313402104
64140110544432201530
7160346541446561154
oct14263350366077536
92088531164645810
10434544454434654
111165062a4a83503
12408a17626992a6
131586149b7977a5
1479440c716d3d4
1535387725ba139
hex18b3743d87f5e

434544454434654 has 48 divisors (see below), whose sum is σ = 947974089628800. Its totient is φ = 143856796683600.

The previous prime is 434544454434631. The next prime is 434544454434719. The reversal of 434544454434654 is 456434454445434.

434544454434654 is a `hidden beast` number, since 4 + 3 + 4 + 5 + 4 + 4 + 4 + 544 + 34 + 6 + 54 = 666.

It is a super-2 number, since 2×4345444544346542 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434544454434591 and 434544454434600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108930372 + ... + 112849079.

It is an arithmetic number, because the mean of its divisors is an integer number (19749460200600).

Almost surely, 2434544454434654 is an apocalyptic number.

434544454434654 is an abundant number, since it is smaller than the sum of its proper divisors (513429635194146).

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

434544454434654 is a wasteful number, since it uses less digits than its factorization.

434544454434654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221780205 (or 221780202 counting only the distinct ones).

The product of its digits is 1769472000, while the sum is 63.

The spelling of 434544454434654 in words is "four hundred thirty-four trillion, five hundred forty-four billion, four hundred fifty-four million, four hundred thirty-four thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 18 199 398 547 597 1094 1194 1641 1791 3282 3582 4923 9846 108853 217706 326559 653118 979677 1959354 221779451 443558902 665338353 1330676706 1996015059 3992030118 44134110749 88268221498 121313359697 132402332247 242626719394 264804664494 363940079091 397206996741 727880158182 794413993482 1091820237273 2183640474546 24141358579703 48282717159406 72424075739109 144848151478218 217272227217327 434544454434654