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58344533544385 = 51123922067201139
BaseRepresentation
bin11010100010000011001010…
…01100100100110111000001
321122120200102212012011000001
431101001211030210313001
530121404101041410020
6324031035251000001
715201152634304264
oct1521014514446701
9248520385164001
1058344533544385
1117654861168660
12666368a299001
132672b3451811a
141059c67714cdb
156b2a1dc8350a
hex351065324dc1

58344533544385 has 32 divisors (see below), whose sum is σ = 76701729945600. Its totient is φ = 42252721748160.

The previous prime is 58344533544383. The next prime is 58344533544389.

58344533544385 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 58344533544385 - 21 = 58344533544383 is a prime.

It is not an unprimeable number, because it can be changed into a prime (58344533544383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289970146 + ... + 290171284.

It is an arithmetic number, because the mean of its divisors is an integer number (2396929060800).

Almost surely, 258344533544385 is an apocalyptic number.

58344533544385 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58344533544385 is a deficient number, since it is larger than the sum of its proper divisors (18357196401215).

58344533544385 is a wasteful number, since it uses less digits than its factorization.

58344533544385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223461.

The product of its digits is 829440000, while the sum is 64.

The spelling of 58344533544385 in words is "fifty-eight trillion, three hundred forty-four billion, five hundred thirty-three million, five hundred forty-four thousand, three hundred eighty-five".

Divisors: 1 5 11 55 239 1195 2629 13145 22067 110335 201139 242737 1005695 1213685 2212529 5274013 11062645 26370065 48072221 58014143 240361105 290070715 528794431 2643972155 4438534313 22192671565 48823877443 244119387215 1060809700807 5304048504035 11668906708877 58344533544385