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2161461505005 = 335112921730713
BaseRepresentation
bin11111011101000001001…
…001010010101111101101
321122122002222011010221000
4133131001021102233231
5240403133121130010
64332543421230513
7312106013436555
oct37350111225755
97578088133830
102161461505005
11763741741320
122aaaa5102439
13128a9553574a
1476888526165
153b357e0d7c0
hex1f741252bed

2161461505005 has 96 divisors (see below), whose sum is σ = 4341461454720. Its totient is φ = 1011843463680.

The previous prime is 2161461505001. The next prime is 2161461505037. The reversal of 2161461505005 is 5005051641612.

2161461505005 is a `hidden beast` number, since 2 + 1 + 6 + 146 + 1 + 5 + 0 + 500 + 5 = 666.

It is not a de Polignac number, because 2161461505005 - 22 = 2161461505001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161461505001) 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 95 ways as a sum of consecutive naturals, for example, 383529 + ... + 2114241.

It is an arithmetic number, because the mean of its divisors is an integer number (45223556820).

Almost surely, 22161461505005 is an apocalyptic number.

It is an amenable number.

2161461505005 is an abundant number, since it is smaller than the sum of its proper divisors (2179999949715).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2161461505005 is a wasteful number, since it uses less digits than its factorization.

2161461505005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730796 (or 1730761 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 2161461505005 in words is "two trillion, one hundred sixty-one billion, four hundred sixty-one million, five hundred five thousand, five".

Divisors: 1 3 5 9 11 15 27 29 33 45 55 87 99 135 145 165 261 297 319 435 495 783 841 957 1305 1485 1595 2523 2871 3915 4205 4785 7569 8613 9251 12615 14355 22707 27753 37845 43065 46255 83259 113535 138765 249777 416295 1248885 1730713 5192139 8653565 15576417 19037843 25960695 46729251 50190677 57113529 77882085 95189215 150572031 171340587 233646255 250953385 285567645 451716093 514021761 552097447 752860155 856702935 1355148279 1455529633 1656292341 2258580465 2570108805 2760487235 4366588899 4968877023 6775741395 7277648165 8281461705 13099766697 14906631069 16010825963 21832944495 24844385115 39299300091 48032477889 65498833485 74533155345 80054129815 144097433667 196496500455 240162389445 432292301001 720487168335 2161461505005