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1819009116 = 223341547751
BaseRepresentation
bin110110001101011…
…1110000001011100
311200202210020102000
41230122332001130
512211131242431
6500255402300
763035215401
oct15432760134
94622706360
101819009116
11853868521
12429223390
1322cb17472
141338242a8
15a9a609e6
hex6c6be05c

1819009116 has 96 divisors (see below), whose sum is σ = 4846248960. Its totient is φ = 589680000.

The previous prime is 1819009111. The next prime is 1819009121. The reversal of 1819009116 is 6119009181.

1819009116 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1819009111) and next prime (1819009121).

It is a super-2 number, since 2×18190091162 = 6617588328182202912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1819009111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2421741 + ... + 2422491.

It is an arithmetic number, because the mean of its divisors is an integer number (50481760).

Almost surely, 21819009116 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 1819009116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423124480).

1819009116 is an abundant number, since it is smaller than the sum of its proper divisors (3027239844).

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

1819009116 is a wasteful number, since it uses less digits than its factorization.

1819009116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 36.

The square root of 1819009116 is about 42649.8430946703. The cubic root of 1819009116 is about 1220.7075345854.

The spelling of 1819009116 in words is "one billion, eight hundred nineteen million, nine thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 547 738 751 1094 1107 1476 1502 1641 2188 2214 2253 3004 3282 4428 4506 4923 6564 6759 9012 9846 13518 14769 19692 20277 22427 27036 29538 30791 40554 44854 59076 61582 67281 81108 89708 92373 123164 134562 184746 201843 269124 277119 369492 403686 410797 554238 605529 807372 821594 831357 1108476 1211058 1232391 1643188 1662714 2422116 2464782 3325428 3697173 4929564 7394346 11091519 14788692 16842677 22183038 33685354 44366076 50528031 67370708 101056062 151584093 202112124 303168186 454752279 606336372 909504558 1819009116