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2006056265616 = 243413119067917
BaseRepresentation
bin11101001100010010010…
…001010110011110010000
321002202222111210000120000
4131030102101112132100
5230331400400444431
64133323003450000
7264634641625104
oct35142221263620
97082874700500
102006056265616
11703844511887
12284954226900
1311722a1a03b0
146d144d47904
15372aea2b9e6
hex1d312456790

2006056265616 has 100 divisors (see below), whose sum is σ = 6252732645852. Its totient is φ = 617248076544.

The previous prime is 2006056265573. The next prime is 2006056265621. The reversal of 2006056265616 is 6165626506002.

It is a happy number.

2006056265616 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 0 + 5 + 6 + 26 + 5 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101391296400 + 1904664969216 = 318420^2 + 1380096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59517111 + ... + 59550806.

Almost surely, 22006056265616 is an apocalyptic number.

2006056265616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2006056265616 is an abundant number, since it is smaller than the sum of its proper divisors (4246676380236).

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

2006056265616 is a wasteful number, since it uses less digits than its factorization.

2006056265616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119067950 (or 119067935 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 2006056265616 in words is "two trillion, six billion, fifty-six million, two hundred sixty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848 119067917 238135834 357203751 476271668 714407502 952543336 1071611253 1428815004 1547882921 1905086672 2143222506 2857630008 3095765842 3214833759 4286445012 4643648763 5715260016 6191531684 6429667518 8572890024 9287297526 9644501277 12383063368 12859335036 13930946289 17145780048 18574595052 19289002554 24766126736 25718670072 27861892578 37149190104 38578005108 41792838867 51437340144 55723785156 74298380208 77156010216 83585677734 111447570312 125378516601 154312020432 167171355468 222895140624 250757033202 334342710936 501514066404 668685421872 1003028132808 2006056265616