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205013132205453 = 3211132127296332563
BaseRepresentation
bin101110100111010101010110…
…111010110101110110001101
3222212220001201200022100020100
4232213111112322311312031
5203332413343321033303
62004005422134441313
761116465351062145
oct5647252672656615
9885801650270210
10205013132205453
115a3616434a3170
121abb0b03203239
138a51869c33400
14388a98d50b925
1518a7cde6298a3
hexba7556eb5d8d

205013132205453 has 144 divisors (see below), whose sum is σ = 352696868020224. Its totient is φ = 113747672787840.

The previous prime is 205013132205451. The next prime is 205013132205551. The reversal of 205013132205453 is 354502231310502.

205013132205453 is a `hidden beast` number, since 2 + 0 + 50 + 1 + 3 + 132 + 20 + 5 + 453 = 666.

It is not a de Polignac number, because 205013132205453 - 21 = 205013132205451 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205013132205451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6295875750 + ... + 6295908312.

It is an arithmetic number, because the mean of its divisors is an integer number (2449283805696).

Almost surely, 2205013132205453 is an apocalyptic number.

It is an amenable number.

205013132205453 is a deficient number, since it is larger than the sum of its proper divisors (147683735814771).

205013132205453 is a wasteful number, since it uses less digits than its factorization.

205013132205453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35696 (or 35680 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 205013132205453 its reverse (354502231310502), we get a palindrome (559515363515955).

The spelling of 205013132205453 in words is "two hundred five trillion, thirteen billion, one hundred thirty-two million, two hundred five thousand, four hundred fifty-three".

Divisors: 1 3 9 11 13 33 39 99 117 127 143 169 381 429 507 1143 1287 1397 1521 1651 1859 2963 4191 4953 5577 8889 12573 14859 16731 18161 21463 26667 32563 32593 38519 54483 64389 97689 97779 115557 163449 193167 236093 293067 293337 346671 358193 376301 423319 423709 500747 708279 1074579 1128903 1269957 1271127 1502241 2124837 3223737 3386709 3809871 3813381 4135501 4139311 4506723 4656509 4891913 5503147 5508217 12406503 12417933 13969527 14675739 16509441 16524651 37219509 37253799 41908581 44027217 45490511 49528323 49573953 53761513 53811043 60534617 63594869 96484169 136471533 161284539 161433129 181603851 190784607 289452507 409414599 483853617 484299387 544811553 572353821 591376643 698899669 699543559 868357521 1061325859 1254294197 1774129929 2096699007 2098630677 3183977577 3762882591 5322389787 6290097021 6295892031 7687896359 9551932731 11288647773 12253489463 13797236167 16305824561 23063689077 36760468389 41391708501 48917473683 69191067231 110281405167 124175125503 134788384093 146752421049 159295363019 179364070171 404365152279 477886089057 538092210513 1213095456837 1433658267171 1614276631539 1752248993209 2070839719247 5256746979627 6212519157741 15770240938881 18637557473223 22779236911717 68337710735151 205013132205453