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2688338862 = 233114525823
BaseRepresentation
bin1010000000111100…
…1100101110101110
320221100120202122000
42200033030232232
521001203320422
61122432233130
7123422334426
oct24017145656
96840522560
102688338862
11115a551860
1263039b7a6
1333ac62a71
141b7079486
1510b02ecac
hexa03ccbae

2688338862 has 32 divisors (see below), whose sum is σ = 6517186560. Its totient is φ = 814647960.

The previous prime is 2688338839. The next prime is 2688338897.

2688338862 is nontrivially palindromic in base 10.

2688338862 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2688338799 and 2688338808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2262318 + ... + 2263505.

It is an arithmetic number, because the mean of its divisors is an integer number (203662080).

Almost surely, 22688338862 is an apocalyptic number.

2688338862 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2688338862 is an abundant number, since it is smaller than the sum of its proper divisors (3828847698).

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

2688338862 is a wasteful number, since it uses less digits than its factorization.

2688338862 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4525845 (or 4525839 counting only the distinct ones).

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

The square root of 2688338862 is about 51849.1934556363. The cubic root of 2688338862 is about 1390.4690827486.

The spelling of 2688338862 in words is "two billion, six hundred eighty-eight million, three hundred thirty-eight thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 4525823 9051646 13577469 27154938 40732407 49784053 81464814 99568106 122197221 149352159 244394442 298704318 448056477 896112954 1344169431 2688338862