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54668577586645 = 51131614621113749
BaseRepresentation
bin11000110111000100001010…
…01001011011110111010101
321011120021011011112101010201
430123202011021123313111
524131142221330233040
6312134221533220501
714341450213226221
oct1433420511336725
9234507134471121
1054668577586645
11164678a49280a0
12616b178031731
1324672bc9c8039
14d6dd8a939781
1564c0c6277a9a
hex31b88525bdd5

54668577586645 has 64 divisors (see below), whose sum is σ = 75102693120000. Its totient is φ = 37837134720000.

The previous prime is 54668577586633. The next prime is 54668577586687.

54668577586645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54668577586645 - 211 = 54668577584597 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480550231 + ... + 480663979.

It is an arithmetic number, because the mean of its divisors is an integer number (1173479580000).

Almost surely, 254668577586645 is an apocalyptic number.

54668577586645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54668577586645 is a deficient number, since it is larger than the sum of its proper divisors (20434115533355).

54668577586645 is a wasteful number, since it uses less digits than its factorization.

54668577586645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118478.

The product of its digits is 40642560000, while the sum is 82.

The spelling of 54668577586645 in words is "fifty-four trillion, six hundred sixty-eight billion, five hundred seventy-seven million, five hundred eighty-six thousand, six hundred forty-five".

Divisors: 1 5 11 31 55 61 155 305 341 671 1705 1891 3355 4621 9455 20801 23105 50831 104005 113749 143251 254155 281881 568745 716255 1251239 1409405 1575761 3100691 3526219 6256195 6938689 7878805 8738311 15503455 17631095 34693445 38788409 43691555 76325579 96121421 193942045 215099359 381627895 480607105 525634129 1075496795 2366092949 2628170645 5781975419 11830464745 16294657999 28909877095 32063681869 81473289995 160318409345 179241237989 352700500559 896206189945 993974137939 1763502502795 4969870689695 10933715517329 54668577586645