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2005676255960 = 235132419708109
BaseRepresentation
bin11101001011111011100…
…111101110101011011000
321002202000000201112022022
4131023323213232223120
5230330111110142320
64133221150514012
7264622345612166
oct35137347565330
97082000645268
102005676255960
11703669a5aa13
12284868b05908
1311719953aa00
146d10a6a8236
153728b4b6325
hex1d2fb9eead8

2005676255960 has 96 divisors (see below), whose sum is σ = 4898280114000. Its totient is φ = 738788903424.

The previous prime is 2005676255951. The next prime is 2005676255963. The reversal of 2005676255960 is 695526765002.

It is a Cunningham number, because it is equal to 14162192-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005676255963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2478386 + ... + 3186494.

Almost surely, 22005676255960 is an apocalyptic number.

2005676255960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005676255960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449140057000).

2005676255960 is an abundant number, since it is smaller than the sum of its proper divisors (2892603858040).

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

2005676255960 is a wasteful number, since it uses less digits than its factorization.

2005676255960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708565 (or 708548 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 53.

The spelling of 2005676255960 in words is "two trillion, five billion, six hundred seventy-six million, two hundred fifty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 419 520 676 838 845 1352 1676 1690 2095 3352 3380 4190 5447 6760 8380 10894 16760 21788 27235 43576 54470 70811 108940 141622 217880 283244 354055 566488 708109 708110 1416218 1416220 2832436 2832440 3540545 5664872 7081090 9205417 14162180 18410834 28324360 36821668 46027085 73643336 92054170 119670421 184108340 239340842 296697671 368216680 478681684 593395342 598352105 957363368 1186790684 1196704210 1483488355 2373581368 2393408420 2966976710 3857069723 4786816840 5933953420 7714139446 11867906840 15428278892 19285348615 30856557784 38570697230 50141906399 77141394460 100283812798 154282788920 200567625596 250709531995 401135251192 501419063990 1002838127980 2005676255960