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552839938255 = 511591014613659
BaseRepresentation
bin10000000101101111101…
…01000000000011001111
31221211222100212200202201
420002313311000003033
533024204011011010
61101545434302331
754640613640433
oct10026765000317
91854870780681
10552839938255
111a3504807160
128b188b879a7
134019538c427
141ca86bb29c3
15e5a99a123a
hex80b7d400cf

552839938255 has 64 divisors (see below), whose sum is σ = 745086988800. Its totient is φ = 390381760000.

The previous prime is 552839938241. The next prime is 552839938303.

552839938255 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 552839938255 - 213 = 552839930063 is a prime.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 151088616 + ... + 151092274.

It is an arithmetic number, because the mean of its divisors is an integer number (11641984200).

Almost surely, 2552839938255 is an apocalyptic number.

552839938255 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

552839938255 is a deficient number, since it is larger than the sum of its proper divisors (192247050545).

552839938255 is a wasteful number, since it uses less digits than its factorization.

552839938255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296.

The product of its digits is 116640000, while the sum is 64.

The spelling of 552839938255 in words is "five hundred fifty-two billion, eight hundred thirty-nine million, nine hundred thirty-eight thousand, two hundred fifty-five".

Divisors: 1 5 11 55 59 101 295 461 505 649 1111 2305 3245 3659 5071 5555 5959 18295 25355 27199 29795 40249 46561 65549 135995 201245 215881 232805 299189 327745 369559 512171 1079405 1495945 1686799 1847795 2374691 2560855 2747099 4065149 8433995 11873455 13735495 18554789 20325745 21803981 30218089 92773945 99521141 109019905 151090445 170366699 239843791 497605705 851833495 1094732551 1199218955 1874033689 5473662755 9370168445 10051635241 50258176205 110567987651 552839938255