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563137553055 = 357111747610219
BaseRepresentation
bin10000011000111011001…
…11010010001010011111
31222211120000122201122110
420030131213102022133
533211301203144210
61110411332045103
755454034136140
oct10143547221237
91884500581573
10563137553055
111a7909516610
1291181763793
1341146920b1c
141d382687ac7
15e9ada4b420
hex831d9d229f

563137553055 has 128 divisors (see below), whose sum is σ = 1214738104320. Its totient is φ = 215577815040.

The previous prime is 563137553003. The next prime is 563137553059. The reversal of 563137553055 is 550355731365.

563137553055 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 563137553055 - 27 = 563137552927 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 563137552995 and 563137553013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563137553059) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 617736 + ... + 1227954.

It is an arithmetic number, because the mean of its divisors is an integer number (9490141440).

Almost surely, 2563137553055 is an apocalyptic number.

563137553055 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

563137553055 is an abundant number, since it is smaller than the sum of its proper divisors (651600551265).

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

563137553055 is a wasteful number, since it uses less digits than its factorization.

563137553055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610309.

The product of its (nonzero) digits is 3543750, while the sum is 48.

The spelling of 563137553055 in words is "five hundred sixty-three billion, one hundred thirty-seven million, five hundred fifty-three thousand, fifty-five".

Divisors: 1 3 5 7 11 15 17 21 33 35 47 51 55 77 85 105 119 141 165 187 231 235 255 329 357 385 517 561 595 705 799 935 987 1155 1309 1551 1645 1785 2397 2585 2805 3619 3927 3995 4935 5593 6545 7755 8789 10857 11985 16779 18095 19635 26367 27965 43945 54285 61523 83895 131835 184569 307615 610219 922845 1830657 3051095 4271533 6712409 9153285 10373723 12814599 20137227 21357665 28680293 31121169 33562045 46986863 51868615 64072995 72616061 86040879 100686135 114110953 140960589 143401465 155605845 200762051 217848183 234934315 315483223 342332859 363080305 430204395 487564981 570554765 602286153 704802945 798776671 946449669 1003810255 1089240915 1462694943 1577416115 1711664295 2208382561 2396330013 2437824905 3011430765 3412954867 3993883355 4732248345 5363214791 6625147683 7313474715 10238864601 11041912805 11981650065 16089644373 17064774335 26816073955 33125738415 37542503537 51194323005 80448221865 112627510611 187712517685 563137553055