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2684664684 = 223213171272657
BaseRepresentation
bin1010000000000100…
…1011101101101100
320221002200002121100
42200001023231230
520444233232214
61122221403100
7123346162512
oct24001135554
96832602540
102684664684
111158472349
1262b109490
1333a2775b0
141b67a04b2
1510aa56309
hexa004bb6c

2684664684 has 144 divisors (see below), whose sum is σ = 7802016768. Its totient is φ = 771047424.

The previous prime is 2684664683. The next prime is 2684664691. The reversal of 2684664684 is 4864664862.

2684664684 is a `hidden beast` number, since 2 + 68 + 466 + 46 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2684664684.

It is not an unprimeable number, because it can be changed into a prime (2684664683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1009084 + ... + 1011740.

It is an arithmetic number, because the mean of its divisors is an integer number (54180672).

Almost surely, 22684664684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2684664684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901008384).

2684664684 is an abundant number, since it is smaller than the sum of its proper divisors (5117352084).

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

2684664684 is a wasteful number, since it uses less digits than its factorization.

2684664684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2819 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The square root of 2684664684 is about 51813.7499511471. The cubic root of 2684664684 is about 1389.8353382229.

The spelling of 2684664684 in words is "two billion, six hundred eighty-four million, six hundred sixty-four thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 127 153 156 204 221 234 254 306 381 442 468 508 612 663 762 884 1143 1326 1524 1651 1989 2159 2286 2652 2657 3302 3978 4318 4572 4953 5314 6477 6604 7956 7971 8636 9906 10628 12954 14859 15942 19431 19812 23913 25908 28067 29718 31884 34541 38862 45169 47826 56134 59436 69082 77724 84201 90338 95652 103623 112268 135507 138164 168402 180676 207246 252603 271014 310869 336804 337439 406521 414492 505206 542028 587197 621738 674878 813042 1010412 1012317 1174394 1243476 1349756 1626084 1761591 2024634 2348788 3036951 3523182 4049268 4386707 5284773 5736463 6073902 7046364 8773414 10569546 11472926 12147804 13160121 17209389 17546828 21139092 22945852 26320242 34418778 39480363 51628167 52640484 68837556 74574019 78960726 103256334 149148038 157921452 206512668 223722057 298296076 447444114 671166171 894888228 1342332342 2684664684