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2009062134937 = 1121329474492087
BaseRepresentation
bin11101001111000101011…
…011110101010010011001
321010001201222212000002101
4131033011123311102121
5230404024401304222
64134541142003401
7265102301244364
oct35170533652231
97101658760071
102009062134937
11705047220a00
12285452a16561
131175b8b5b2b0
146d34c23b0db
15373d887e927
hex1d3c56f5499

2009062134937 has 96 divisors (see below), whose sum is σ = 2519330688000. Its totient is φ = 1588847124480.

The previous prime is 2009062134931. The next prime is 2009062134983. The reversal of 2009062134937 is 7394312609002.

2009062134937 is an astonishing number since 2009062134937 = 134937 + ... + 2009062.

It is not a de Polignac number, because 2009062134937 - 23 = 2009062134929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2009062134931) 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, 962654508 + ... + 962656594.

It is an arithmetic number, because the mean of its divisors is an integer number (26243028000).

Almost surely, 22009062134937 is an apocalyptic number.

It is an amenable number.

2009062134937 is a deficient number, since it is larger than the sum of its proper divisors (510268553063).

2009062134937 is a wasteful number, since it uses less digits than its factorization.

2009062134937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The spelling of 2009062134937 in words is "two trillion, nine billion, sixty-two million, one hundred thirty-four thousand, nine hundred thirty-seven".

Divisors: 1 11 13 29 47 121 143 319 377 449 517 611 1363 1573 2087 3509 4147 4939 5687 5837 6721 13021 14993 17719 21103 22957 27131 45617 54329 60523 64207 73931 98089 143231 164923 169273 194909 232133 252527 274339 298441 611987 665753 706277 786799 937063 1078979 1275157 1575541 1862003 2143999 2553463 2844581 3017729 3282851 6731857 7323283 7955831 8654789 10307693 11868769 12181819 14026727 20482033 27174827 31290391 33195019 36979553 44041961 74050427 87514141 95202679 113384623 134000009 154293997 298923097 344194301 353272751 406775083 484461571 572545493 962655551 1277216869 1474000099 3288154067 3886000261 4474525913 5329077281 6298000423 14049385559 16603819297 42746002871 69278004653 154543241149 182642012267 2009062134937