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20565280836 = 22343122572
BaseRepresentation
bin10011001001110010…
…010100100001000100
31222002020012111210000
4103021302110201010
5314104202441321
613240401201300
71325425000662
oct231162244104
958066174700
1020565280836
1187a3623971
123b9b330230
131c29838539
14dd13d1c32
158056cb826
hex4c9c94844

20565280836 has 135 divisors (see below), whose sum is σ = 55768894797. Its totient is φ = 6608148480.

The previous prime is 20565280759. The next prime is 20565280861. The reversal of 20565280836 is 63808256502.

The square root of 20565280836 is 143406.

It is a perfect power (a square), and thus also a powerful number.

20565280836 is a `hidden beast` number, since 2 + 0 + 565 + 2 + 8 + 0 + 83 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20246444100 + 318836736 = 142290^2 + 17856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20565280791 and 20565280800.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 80020420 + ... + 80020676.

Almost surely, 220565280836 is an apocalyptic number.

20565280836 is the 143406-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20565280836

20565280836 is an abundant number, since it is smaller than the sum of its proper divisors (35203613961).

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

20565280836 is an equidigital number, since it uses as much as digits as its factorization.

20565280836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

It can be divided in two parts, 20565 and 280836, that added together give a square (301401 = 5492).

The spelling of 20565280836 in words is "twenty billion, five hundred sixty-five million, two hundred eighty thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 257 279 324 372 514 558 771 837 961 1028 1116 1542 1674 1922 2313 2511 2883 3084 3348 3844 4626 5022 5766 6939 7967 8649 9252 10044 11532 13878 15934 17298 20817 23901 25947 27756 31868 34596 41634 47802 51894 66049 71703 77841 83268 95604 103788 132098 143406 155682 198147 215109 246977 264196 286812 311364 396294 430218 493954 594441 645327 740931 792588 860436 987908 1188882 1290654 1481862 1783323 2047519 2222793 2377764 2581308 2963724 3566646 4095038 4445586 5349969 6142557 6668379 7133292 8190076 8891172 10699938 12285114 13336758 18427671 20005137 21399876 24570228 26673516 36855342 40010274 55283013 63473089 73710684 80020548 110566026 126946178 165849039 190419267 221132052 253892356 331698078 380838534 571257801 663396156 761677068 1142515602 1713773403 2285031204 3427546806 5141320209 6855093612 10282640418 20565280836