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2868338682 = 233118275839
BaseRepresentation
bin1010101011110111…
…0101111111111010
321101220021200222000
42222331311333322
521333243314212
61152342241430
7131036322306
oct25275657772
97356250860
102868338682
111242114340
12680726276
13369336831
141d2d32d06
1511bc381dc
hexaaf75ffa

2868338682 has 64 divisors (see below), whose sum is σ = 6963148800. Its totient is φ = 867993840.

The previous prime is 2868338659. The next prime is 2868338713.

2868338682 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488319 + ... + 494157.

It is an arithmetic number, because the mean of its divisors is an integer number (108799200).

Almost surely, 22868338682 is an apocalyptic number.

2868338682 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2868338682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481574400).

2868338682 is an abundant number, since it is smaller than the sum of its proper divisors (4094810118).

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

2868338682 is a wasteful number, since it uses less digits than its factorization.

2868338682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6688 (or 6682 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 2868338682 is about 53556.8733404033. The cubic root of 2868338682 is about 1420.8344434303.

The spelling of 2868338682 in words is "two billion, eight hundred sixty-eight million, three hundred thirty-eight thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 827 1654 2481 4962 5839 7443 9097 11678 14886 17517 18194 22329 27291 35034 44658 52551 54582 64229 81873 105102 128458 157653 163746 192687 245619 315306 385374 491238 578061 1156122 1734183 3468366 4828853 9657706 14486559 28973118 43459677 53117383 86919354 106234766 130379031 159352149 260758062 318704298 478056447 956112894 1434169341 2868338682