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2005444312445 = 571931169114033
BaseRepresentation
bin11101001011101101110…
…010111011110101111101
321002201101212021120121202
4131023231302323311331
5230324122220444240
64133142143305245
7264613531253060
oct35135562736575
97081355246552
102005444312445
1170356003a362
122848032ab225
1311716047ac22
146d0c796c8d7
1537275e4c315
hex1d2edcbbd7d

2005444312445 has 64 divisors (see below), whose sum is σ = 2908796866560. Its totient is φ = 1296624153600.

The previous prime is 2005444312393. The next prime is 2005444312451. The reversal of 2005444312445 is 5442134445002.

It is not a de Polignac number, because 2005444312445 - 212 = 2005444308349 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2005444312399 and 2005444312408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142902149 + ... + 142916181.

It is an arithmetic number, because the mean of its divisors is an integer number (45449951040).

Almost surely, 22005444312445 is an apocalyptic number.

It is an amenable number.

2005444312445 is a deficient number, since it is larger than the sum of its proper divisors (903352554115).

2005444312445 is a wasteful number, since it uses less digits than its factorization.

2005444312445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15066.

The product of its (nonzero) digits is 307200, while the sum is 38.

Adding to 2005444312445 its reverse (5442134445002), we get a palindrome (7447578757447).

The spelling of 2005444312445 in words is "two trillion, five billion, four hundred forty-four million, three hundred twelve thousand, four hundred forty-five".

Divisors: 1 5 7 19 35 95 133 311 665 691 1555 2177 3455 4837 5909 10885 13129 14033 24185 29545 41363 65645 70165 91903 98231 206815 214901 266627 459515 491155 1074505 1333135 1504307 1866389 4083119 4364263 7521535 9331945 9696803 20415595 21821315 28581833 30549841 48484015 67877621 82920997 142909165 152749205 184239257 339388105 414604985 580446979 921196285 1289674799 2902234895 3015705733 6448373995 15078528665 21109940131 57298408927 105549700655 286492044635 401088862489 2005444312445