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353505200055 = 357195325713009
BaseRepresentation
bin1010010010011101000…
…11010100011110110111
31020210110101101210220020
411021032203110132313
521242434312400210
6430221551140223
734353121423260
oct5111643243667
91223411353806
10353505200055
11126a14518aa7
1258618214673
1327448b38ab7
14131771c5967
1592deb3b770
hex524e8d47b7

353505200055 has 128 divisors (see below), whose sum is σ = 696020428800. Its totient is φ = 149612396544.

The previous prime is 353505200053. The next prime is 353505200177. The reversal of 353505200055 is 550002505353.

It is not a de Polignac number, because 353505200055 - 21 = 353505200053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 353505199989 and 353505200025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353505200053) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27167391 + ... + 27180399.

It is an arithmetic number, because the mean of its divisors is an integer number (5437659600).

Almost surely, 2353505200055 is an apocalyptic number.

353505200055 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

353505200055 is a deficient number, since it is larger than the sum of its proper divisors (342515228745).

353505200055 is a wasteful number, since it uses less digits than its factorization.

353505200055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13353.

The product of its (nonzero) digits is 56250, while the sum is 33.

The spelling of 353505200055 in words is "three hundred fifty-three billion, five hundred five million, two hundred thousand, fifty-five".

Divisors: 1 3 5 7 15 19 21 35 53 57 95 105 133 159 257 265 285 371 399 665 771 795 1007 1113 1285 1799 1855 1995 3021 3855 4883 5035 5397 5565 7049 8995 13009 13621 14649 15105 21147 24415 26985 34181 35245 39027 40863 65045 68105 73245 91063 95347 102543 105735 170905 195135 204315 247171 258799 273189 286041 455315 476735 512715 689477 741513 776397 1235855 1293995 1365945 1430205 1730197 1811593 2068431 3343313 3447385 3707565 3881985 4826339 5190591 5434779 8650985 9057965 10029939 10342155 13100063 14479017 16716565 23403191 24131695 25952955 27173895 39300189 50149695 63522947 65500315 70209573 72395085 91700441 117015955 177195589 190568841 196500945 275101323 317614735 351047865 444660629 458502205 531586767 885977945 952844205 1240369123 1333981887 1375506615 2223303145 2657933835 3366716191 3721107369 6201845615 6669909435 10100148573 16833580955 18605536845 23567013337 50500742865 70701040011 117835066685 353505200055