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2568106836 = 2233173145121
BaseRepresentation
bin1001100100010010…
…0011001101010100
320121222100100022000
42121010203031110
520224413404321
61102455235300
7120432355641
oct23104431524
96558310260
102568106836
1110a86a1749
125b8078b30
1331c087359
141a50dcdc8
151006d0826
hex99123354

2568106836 has 96 divisors (see below), whose sum is σ = 7277276160. Its totient is φ = 779673600.

The previous prime is 2568106831. The next prime is 2568106847. The reversal of 2568106836 is 6386018652.

2568106836 is a `hidden beast` number, since 2 + 568 + 1 + 0 + 6 + 83 + 6 = 666.

It is a super-2 number, since 2×25681068362 = 13190345442219861792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2568106791 and 2568106800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2568106831) 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 31 ways as a sum of consecutive naturals, for example, 34356 + ... + 79476.

It is an arithmetic number, because the mean of its divisors is an integer number (75804960).

Almost surely, 22568106836 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 2568106836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638638080).

2568106836 is an abundant number, since it is smaller than the sum of its proper divisors (4709169324).

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

2568106836 is a wasteful number, since it uses less digits than its factorization.

2568106836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45182 (or 45174 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2568106836 is about 50676.4919464637. The cubic root of 2568106836 is about 1369.4232456033.

The spelling of 2568106836 in words is "two billion, five hundred sixty-eight million, one hundred six thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 31 34 36 51 54 62 68 93 102 108 124 153 186 204 279 306 372 459 527 558 612 837 918 1054 1116 1581 1674 1836 2108 3162 3348 4743 6324 9486 14229 18972 28458 45121 56916 90242 135363 180484 270726 406089 541452 767057 812178 1218267 1398751 1534114 1624356 2301171 2436534 2797502 3068228 4196253 4602342 4873068 5595004 6903513 8392506 9204684 12588759 13807026 16785012 20710539 23778767 25177518 27614052 37766277 41421078 47557534 50355036 71336301 75532554 82842156 95115068 142672602 151065108 214008903 285345204 428017806 642026709 856035612 1284053418 2568106836