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55051983932058 = 2357912347116131
BaseRepresentation
bin11001000010001110010011…
…11100100100101010011010
321012220220210102012202100000
430201013021330210222122
524203432430341311213
6313030310545553430
714411242324336431
oct1441071174445232
9235826712182300
1055051983932058
11165a5462800173
12621153a045876
1324944c2596849
14d8475cd96118
15657065eb2c73
hex3211c9f24a9a

55051983932058 has 96 divisors (see below), whose sum is σ = 125274059688960. Its totient is φ = 18116751023280.

The previous prime is 55051983932041. The next prime is 55051983932069. The reversal of 55051983932058 is 85023938915055.

55051983932058 is a `hidden beast` number, since 5 + 5 + 0 + 5 + 198 + 393 + 2 + 0 + 58 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 55051983931986 and 55051983932004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473992653 + ... + 474108783.

It is an arithmetic number, because the mean of its divisors is an integer number (1304938121760).

Almost surely, 255051983932058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55051983932058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62637029844480).

55051983932058 is an abundant number, since it is smaller than the sum of its proper divisors (70222075756902).

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

55051983932058 is a wasteful number, since it uses less digits than its factorization.

55051983932058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128574 (or 128562 counting only the distinct ones).

The product of its (nonzero) digits is 58320000, while the sum is 63.

The spelling of 55051983932058 in words is "fifty-five trillion, fifty-one billion, nine hundred eighty-three million, nine hundred thirty-two thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 79 81 158 162 237 243 474 486 711 1422 2133 4266 6399 12347 12798 19197 24694 37041 38394 74082 111123 116131 222246 232262 333369 348393 666738 696786 975413 1000107 1045179 1950826 2000214 2090358 2926239 3000321 3135537 5852478 6000642 6271074 8778717 9174349 9406611 17557434 18348698 18813222 26336151 27523047 28219833 52672302 55046094 56439666 79008453 82569141 158016906 165138282 237025359 247707423 474050718 495414846 743122269 1433869457 1486244538 2229366807 2867738914 4301608371 4458733614 8603216742 12904825113 25809650226 38714475339 77428950678 113275687103 116143426017 226551374206 232286852034 339827061309 348430278051 679654122618 696860556102 1019481183927 2038962367854 3058443551781 6116887103562 9175330655343 18350661310686 27525991966029 55051983932058