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545816618545 = 51123125317713
BaseRepresentation
bin1111111000101010011…
…01001010011000110001
31221011211220021002100111
413330111031022120301
532420313023243140
61054424504221321
754301562464612
oct7742515123061
91834756232314
10545816618545
111a0530285100
1289948a6a841
133c6162b0053
141c5bc105c09
15e2e80cc7ea
hex7f1534a631

545816618545 has 72 divisors (see below), whose sum is σ = 757988366184. Its totient is φ = 376883020800.

The previous prime is 545816618539. The next prime is 545816618591.

545816618545 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 226935046129 + 318881572416 = 476377^2 + 564696^2 .

It is not a de Polignac number, because 545816618545 - 215 = 545816585777 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 545816618545.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30805609 + ... + 30823321.

It is an arithmetic number, because the mean of its divisors is an integer number (10527616197).

Almost surely, 2545816618545 is an apocalyptic number.

545816618545 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

545816618545 is a deficient number, since it is larger than the sum of its proper divisors (212171747639).

545816618545 is a wasteful number, since it uses less digits than its factorization.

545816618545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17855 (or 17813 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 58.

The spelling of 545816618545 in words is "five hundred forty-five billion, eight hundred sixteen million, six hundred eighteen thousand, five hundred forty-five".

Divisors: 1 5 11 31 53 55 121 155 265 341 583 605 961 1643 1705 2915 3751 4805 6413 8215 10571 17713 18073 18755 32065 50933 52855 88565 90365 116281 194843 198803 254665 549103 560263 581405 938789 974215 994015 2143273 2745515 2801315 4693945 6040133 6162893 10326679 10716365 17022193 29102459 30200665 30814465 51633395 66441463 85110965 113593469 145512295 187244123 320127049 332207315 567967345 902176229 936220615 1600635245 2059685353 3521397539 4510881145 9923938519 10298426765 17606987695 49619692595 109163323709 545816618545