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55419606450 = 232521317557261
BaseRepresentation
bin110011100111010001…
…000001010110110010
312022001021202201000200
4303213101001112302
51401444404401300
641243122300030
74001230611435
oct634721012662
9168037681020
1055419606450
1121559a1764a
12a8a7ab7616
1352c2816150
14297a41b81c
151695584200
hexce74415b2

55419606450 has 144 divisors (see below), whose sum is σ = 169779899016. Its totient is φ = 12839270400.

The previous prime is 55419606449. The next prime is 55419606481. The reversal of 55419606450 is 5460691455.

55419606450 is a `hidden beast` number, since 5 + 5 + 4 + 196 + 0 + 6 + 450 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2607429969 + 52812176481 = 51063^2 + 229809^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 55419606396 and 55419606405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 179181 + ... + 378080.

Almost surely, 255419606450 is an apocalyptic number.

55419606450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55419606450 is an abundant number, since it is smaller than the sum of its proper divisors (114360292566).

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

55419606450 is a wasteful number, since it uses less digits than its factorization.

55419606450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557309 (or 557301 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 55419606450 in words is "fifty-five billion, four hundred nineteen million, six hundred six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 25 26 30 34 39 45 50 51 65 75 78 85 90 102 117 130 150 153 170 195 221 225 234 255 306 325 390 425 442 450 510 585 650 663 765 850 975 1105 1170 1275 1326 1530 1950 1989 2210 2550 2925 3315 3825 3978 5525 5850 6630 7650 9945 11050 16575 19890 33150 49725 99450 557261 1114522 1671783 2786305 3343566 5015349 5572610 7244393 8358915 9473437 10030698 13931525 14488786 16717830 18946874 21733179 25076745 27863050 28420311 36221965 41794575 43466358 47367185 50153490 56840622 65199537 72443930 83589150 85260933 94734370 108665895 123154681 125383725 130399074 142101555 170521866 181109825 217331790 236835925 246309362 250767450 284203110 325997685 362219650 369464043 426304665 473671850 543329475 615773405 651995370 710507775 738928086 852609330 1086658950 1108392129 1231546810 1421015550 1629988425 1847320215 2131523325 2216784258 3078867025 3259976850 3694640430 4263046650 5541960645 6157734050 9236601075 11083921290 18473202150 27709803225 55419606450