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5509760954945 = 5131773379717989
BaseRepresentation
bin101000000101101011101…
…0110000011001001000001
3201111201122201021201121112
41100023113112003021001
51210232442301024240
615415052122533105
71106032004246222
oct120132726031101
921451581251545
105509760954945
111834749468975
1274b9b3967195
1330c750524210
141509610a5249
15984c5244665
hex502d7583241

5509760954945 has 64 divisors (see below), whose sum is σ = 7644861725760. Its totient is φ = 3775746244608.

The previous prime is 5509760954933. The next prime is 5509760954969. The reversal of 5509760954945 is 5494590679055.

It is a Cunningham number, because it is equal to 23472882+1.

It can be written as a sum of positive squares in 32 ways, for example, as 4198532137024 + 1311228817921 = 2049032^2 + 1145089^2 .

It is not a de Polignac number, because 5509760954945 - 220 = 5509759906369 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306276011 + ... + 306293999.

It is an arithmetic number, because the mean of its divisors is an integer number (119450964465).

Almost surely, 25509760954945 is an apocalyptic number.

It is an amenable number.

5509760954945 is a deficient number, since it is larger than the sum of its proper divisors (2135100770815).

5509760954945 is a wasteful number, since it uses less digits than its factorization.

5509760954945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21894.

The product of its (nonzero) digits is 306180000, while the sum is 68.

The spelling of 5509760954945 in words is "five trillion, five hundred nine billion, seven hundred sixty million, nine hundred fifty-four thousand, nine hundred forty-five".

Divisors: 1 5 13 17 65 73 85 221 365 949 1105 1241 3797 4745 6205 16133 17989 18985 49361 64549 80665 89945 233857 246805 277181 305813 322745 839137 1169285 1313197 1385905 1529065 3603353 3975569 4195685 4712077 6565985 17071561 18016765 19877845 22324349 23560385 61257001 68304233 85357805 111621745 290216537 306285005 341521165 887955029 1161171961 1451082685 4439775145 4986209009 5805859805 15095235493 24931045045 64820717117 75476177465 84765553153 324103585585 423827765765 1101952190989 5509760954945