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545313313545 = 3571113103352601
BaseRepresentation
bin1111110111101110011…
…01001101001100001001
31221010112211012112200120
413323313031031030021
532413300202013140
61054302524453453
754253241454240
oct7736715151411
91833484175616
10545313313545
111a02a2170660
12898283aa289
133c565c3b840
141c57132d957
15e2b8d101d0
hex7ef734d309

545313313545 has 128 divisors (see below), whose sum is σ = 1182847131648. Its totient is φ = 207159552000.

The previous prime is 545313313507. The next prime is 545313313549.

545313313545 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 545313313545 - 218 = 545313051401 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 545313313497 and 545313313506.

It is not an unprimeable number, because it can be changed into a prime (545313313549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1370245 + ... + 1722845.

It is an arithmetic number, because the mean of its divisors is an integer number (9240993216).

Almost surely, 2545313313545 is an apocalyptic number.

545313313545 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

545313313545 is an abundant number, since it is smaller than the sum of its proper divisors (637533818103).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

545313313545 is a wasteful number, since it uses less digits than its factorization.

545313313545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352743.

The product of its digits is 810000, while the sum is 42.

It can be divided in two parts, 545313 and 313545, that added together give a palindrome (858858).

The spelling of 545313313545 in words is "five hundred forty-five billion, three hundred thirteen million, three hundred thirteen thousand, five hundred forty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 55 65 77 91 103 105 143 165 195 231 273 309 385 429 455 515 715 721 1001 1133 1155 1339 1365 1545 2145 2163 3003 3399 3605 4017 5005 5665 6695 7931 9373 10815 14729 15015 16995 20085 23793 28119 39655 44187 46865 73645 103103 118965 140595 220935 309309 352601 515515 1057803 1546545 1763005 2468207 3878611 4583813 5289015 7404621 11635833 12341035 13751439 19393055 22919065 27150277 32086691 36317903 37023105 50421943 58179165 68757195 81450831 96260073 108953709 135751385 151265829 160433455 181589515 252109715 254225321 352953601 399496933 407254155 472132739 481300365 544768545 756329145 762675963 1058860803 1198490799 1271126605 1416398217 1764768005 1997484665 2360663695 2796478531 3304929173 3813379815 5193460129 5294304015 5992453995 7081991085 8389435593 9914787519 13982392655 15580380387 16524645865 25967300645 36354220903 41947177965 49573937595 77901901935 109062662709 181771104515 545313313545