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54634333343645 = 511311811030317183
BaseRepresentation
bin11000110110000100011000…
…00010000000111110011101
321011102222202121221120220102
430123002030002000332131
524130112103313444040
6312110355524230445
714336125466040116
oct1433021402007635
9234388677846812
1054634333343645
1116454321949520
1261645bb83b425
132463cc3236363
14d6c45c95d20d
1564b26ec30515
hex31b08c080f9d

54634333343645 has 64 divisors (see below), whose sum is σ = 74247866155008. Its totient is φ = 38233936224000.

The previous prime is 54634333343587. The next prime is 54634333343657.

54634333343645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54634333343645 - 214 = 54634333327261 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3179548724 + ... + 3179565906.

It is an arithmetic number, because the mean of its divisors is an integer number (1160122908672).

Almost surely, 254634333343645 is an apocalyptic number.

54634333343645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54634333343645 is a deficient number, since it is larger than the sum of its proper divisors (19613532811363).

54634333343645 is a wasteful number, since it uses less digits than its factorization.

54634333343645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27714.

The product of its digits is 167961600, while the sum is 56.

The spelling of 54634333343645 in words is "fifty-four trillion, six hundred thirty-four billion, three hundred thirty-three million, three hundred forty-three thousand, six hundred forty-five".

Divisors: 1 5 11 31 55 155 181 341 905 1705 1991 5611 9955 10303 17183 28055 51515 61721 85915 113333 189013 308605 319393 532673 566665 945065 1596965 1864843 2663365 3110123 3513323 5859403 9324215 15550615 17566615 20513273 29297015 34211353 57810133 96413813 102566365 171056765 177036449 289050665 482069065 635911463 885182245 1060551943 1947400939 3179557315 5302759715 5488129919 9737004695 27440649595 32043597269 60369429109 160217986345 301847145545 352479569959 993351515339 1762397849795 4966757576695 10926866668729 54634333343645