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2006130016 = 251117335249
BaseRepresentation
bin111011110010011…
…0001110101100000
312011210212222000201
41313210301311200
513102032130031
6531022154544
7100466552362
oct16744616540
95153788021
102006130016
1193a4541a0
1247ba22a54
1325c8125a7
14150612d32
15bb1c3d61
hex77931d60

2006130016 has 48 divisors (see below), whose sum is σ = 4562082000. Its totient is φ = 858234880.

The previous prime is 2006129987. The next prime is 2006130017. The reversal of 2006130016 is 6100316002.

It is a junction number, because it is equal to n+sod(n) for n = 2006129975 and 2006130002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006130017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161641 + ... + 173608.

It is an arithmetic number, because the mean of its divisors is an integer number (95043375).

Almost surely, 22006130016 is an apocalyptic number.

It is an amenable number.

2006130016 is an abundant number, since it is smaller than the sum of its proper divisors (2555951984).

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

2006130016 is a wasteful number, since it uses less digits than its factorization.

2006130016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335287 (or 335279 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 2006130016 is about 44789.8427771297. The cubic root of 2006130016 is about 1261.2069597128.

Adding to 2006130016 its reverse (6100316002), we get a palindrome (8106446018).

The spelling of 2006130016 in words is "two billion, six million, one hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5984 335249 670498 1340996 2681992 3687739 5363984 5699233 7375478 10727968 11398466 14750956 22796932 29501912 45593864 59003824 62691563 91187728 118007648 125383126 182375456 250766252 501532504 1003065008 2006130016