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54077563450141 = 71119113072813309
BaseRepresentation
bin11000100101110111010011…
…11101011011001100011101
321002110202122101011111000121
430102323221331123030131
524042001322220401031
6311002520101154541
714250655302034030
oct1422735175331435
9232422571144017
1054077563450141
111625a19084a870
1260947166bba51
13242365290b52a
14d4d521c6b017
1563ba35243011
hex312ee9f5b31d

54077563450141 has 32 divisors (see below), whose sum is σ = 67826248335360. Its totient is φ = 41885654827200.

The previous prime is 54077563450109. The next prime is 54077563450147. The reversal of 54077563450141 is 14105436577045.

It is a cyclic number.

It is not a de Polignac number, because 54077563450141 - 25 = 54077563450109 is a prime.

It is a super-3 number, since 3×540775634501413 (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54077563450147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17815395 + ... + 20628703.

It is an arithmetic number, because the mean of its divisors is an integer number (2119570260480).

Almost surely, 254077563450141 is an apocalyptic number.

It is an amenable number.

54077563450141 is a deficient number, since it is larger than the sum of its proper divisors (13748684885219).

54077563450141 is a wasteful number, since it uses less digits than its factorization.

54077563450141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814825.

The product of its (nonzero) digits is 7056000, while the sum is 52.

The spelling of 54077563450141 in words is "fifty-four trillion, seventy-seven billion, five hundred sixty-three million, four hundred fifty thousand, one hundred forty-one".

Divisors: 1 7 11 77 191 1307 1337 2101 9149 14377 14707 100639 249637 1747459 2746007 2813309 19222049 19693163 30946399 216624793 537342019 3676994863 3761394133 5910762209 25738964041 40446943493 41375335463 283128604451 702306018833 4916142131831 7725366207163 54077563450141