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205145134230555 = 39519310800469
BaseRepresentation
bin101110101001010000010010…
…110110100110110000011011
3222220100200110010102000000000
4232221100102312212300123
5203342044213330334210
62004150212412144043
761132150444554321
oct5651202266466033
9886320403360000
10205145134230555
115a4026211723a2
121b012602468023
138a61145810c7c
14389311283bd11
1518ab468100ac0
hexba9412da6c1b

205145134230555 has 80 divisors (see below), whose sum is σ = 371168260789920. Its totient is φ = 108843833161728.

The previous prime is 205145134230551. The next prime is 205145134230559. The reversal of 205145134230555 is 555032431541502.

205145134230555 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 4 + 51 + 3 + 42 + 3 + 0 + 555 = 666.

It is an interprime number because it is at equal distance from previous prime (205145134230551) and next prime (205145134230559).

It is not a de Polignac number, because 205145134230555 - 22 = 205145134230551 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 205145134230555.

It is not an unprimeable number, because it can be changed into a prime (205145134230551) 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 79 ways as a sum of consecutive naturals, for example, 13593861 + ... + 24394329.

It is an arithmetic number, because the mean of its divisors is an integer number (4639603259874).

Almost surely, 2205145134230555 is an apocalyptic number.

205145134230555 is a deficient number, since it is larger than the sum of its proper divisors (166023126559365).

205145134230555 is an frugal number, since it uses more digits than its factorization.

205145134230555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10800694 (or 10800670 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 205145134230555 in words is "two hundred five trillion, one hundred forty-five billion, one hundred thirty-four million, two hundred thirty thousand, five hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 81 135 193 243 405 579 729 965 1215 1737 2187 2895 3645 5211 6561 8685 10935 15633 19683 26055 32805 46899 78165 98415 140697 234495 422091 703485 1266273 2110455 3798819 6331365 10800469 18994095 32401407 54002345 97204221 162007035 291612663 486021105 874837989 1458063315 2084490517 2624513967 4374189945 6253471551 7873541901 10422452585 13122569835 18760414653 23620625703 31267357755 39367709505 56281243959 70861877109 93802073265 118103128515 168843731877 212585631327 281406219795 354309385545 506531195631 844218659385 1062928156635 1519593586893 2532655978155 4558780760679 7597967934465 13676342282037 22793903803395 41029026846111 68381711410185 205145134230555