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2112145274745 = 32511307127910867
BaseRepresentation
bin11110101111000101101…
…010110011011101111001
321110220211000222002001100
4132233011222303131321
5234101133142242440
64254150043242013
7305411633416602
oct36570552633571
97426730862040
102112145274745
11744834a42630
122a1421219309
131242363417cc
147432a946da9
1539e1d5d2230
hex1ebc5ab3779

2112145274745 has 96 divisors (see below), whose sum is σ = 4010385899520. Its totient is φ = 1019842773120.

The previous prime is 2112145274699. The next prime is 2112145274777. The reversal of 2112145274745 is 5474725412112.

2112145274745 is a `hidden beast` number, since 2 + 1 + 12 + 145 + 27 + 474 + 5 = 666.

It is not a de Polignac number, because 2112145274745 - 211 = 2112145272697 is a prime.

It is a super-2 number, since 2×21121452747452 (a number of 25 digits) contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2112145274745.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194357802 + ... + 194368668.

It is an arithmetic number, because the mean of its divisors is an integer number (41774853120).

Almost surely, 22112145274745 is an apocalyptic number.

It is an amenable number.

2112145274745 is a deficient number, since it is larger than the sum of its proper divisors (1898240624775).

2112145274745 is a wasteful number, since it uses less digits than its factorization.

2112145274745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12475 (or 12472 counting only the distinct ones).

The product of its digits is 627200, while the sum is 45.

The spelling of 2112145274745 in words is "two trillion, one hundred twelve billion, one hundred forty-five million, two hundred seventy-four thousand, seven hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 307 495 921 1279 1535 2763 3377 3837 4605 6395 10131 10867 11511 13815 14069 16885 19185 30393 32601 42207 50655 54335 57555 70345 97803 119537 126621 151965 163005 211035 358611 392653 489015 597685 633105 1075833 1177959 1793055 1963265 3336169 3533877 4319183 5379165 5889795 10008507 12957549 13898893 16680845 17669385 21595915 30025521 36697859 38872647 41696679 50042535 64787745 69494465 110093577 125090037 150127605 152887823 183489295 194363235 208483395 330280731 458663469 550467885 625450185 764439115 1375990407 1651403655 2293317345 4266960151 6879952035 12800880453 21334800755 38402641359 46936561661 64004402265 140809684983 192013206795 234682808305 422429054949 704048424915 2112145274745