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20595568968 = 233213213012
BaseRepresentation
bin10011001011100101…
…110111000101001000
31222011100012022021200
4103023211313011020
5314134431201333
613243402304200
71326243306402
oct231345670510
958140168250
1020595568968
118809730887
123ba94b8060
131c32bb1700
14dd5437b72
158081b0c13
hex4cb977148

20595568968 has 108 divisors (see below), whose sum is σ = 60446928555. Its totient is φ = 6332227200.

The previous prime is 20595568949. The next prime is 20595568993. The reversal of 20595568968 is 86986559502.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

20595568968 is a `hidden beast` number, since 2 + 0 + 5 + 9 + 5 + 568 + 9 + 68 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 2440162404 + 18155406564 = 49398^2 + 134742^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=101478.

It is a super-2 number, since 2×205955689682 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15829918 + ... + 15831218.

Almost surely, 220595568968 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 20595568968

20595568968 is an abundant number, since it is smaller than the sum of its proper divisors (39851359587).

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

20595568968 is a wasteful number, since it uses less digits than its factorization.

20595568968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 20595568968 in words is "twenty billion, five hundred ninety-five million, five hundred sixty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1301 1352 1521 2028 2602 3042 3903 4056 5204 6084 7806 10408 11709 12168 15612 16913 23418 31224 33826 46836 50739 67652 93672 101478 135304 152217 202956 219869 304434 405912 439738 608868 659607 879476 1217736 1319214 1692601 1758952 1978821 2638428 3385202 3957642 5077803 5276856 6770404 7915284 10155606 13540808 15233409 15830568 20311212 22003813 30466818 40622424 44007626 60933636 66011439 88015252 121867272 132022878 176030504 198034317 264045756 286049569 396068634 528091512 572099138 792137268 858148707 1144198276 1584274536 1716297414 2288396552 2574446121 3432594828 5148892242 6865189656 10297784484 20595568968