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1816328999808 = 27327012249179
BaseRepresentation
bin11010011011100101101…
…001010001001110000000
320102122021002110022011100
4122123211221101032000
5214224320210443213
63510224322014400
7245140216522341
oct32334551211600
96378232408140
101816328999808
11640334406954
12254024aa7400
13102382210b7b
1463ca73020c8
15323a838a773
hex1a6e5a51380

1816328999808 has 96 divisors (see below), whose sum is σ = 5234134253400. Its totient is φ = 604579046400.

The previous prime is 1816328999783. The next prime is 1816328999809. The reversal of 1816328999808 is 8089998236181.

1816328999808 is a `hidden beast` number, since 181 + 6 + 3 + 289 + 99 + 80 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1816328999809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 317038 + ... + 1932141.

Almost surely, 21816328999808 is an apocalyptic number.

1816328999808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1816328999808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617067126700).

1816328999808 is an abundant number, since it is smaller than the sum of its proper divisors (3417805253592).

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

1816328999808 is a wasteful number, since it uses less digits than its factorization.

1816328999808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249900 (or 2249885 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 72.

The spelling of 1816328999808 in words is "one trillion, eight hundred sixteen billion, three hundred twenty-eight million, nine hundred ninety-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 701 1152 1402 2103 2804 4206 5608 6309 8412 11216 12618 16824 22432 25236 33648 44864 50472 67296 89728 100944 134592 201888 269184 403776 807552 2249179 4498358 6747537 8996716 13495074 17993432 20242611 26990148 35986864 40485222 53980296 71973728 80970444 107960592 143947456 161940888 215921184 287894912 323881776 431842368 647763552 863684736 1295527104 1576674479 2591054208 3153348958 4730023437 6306697916 9460046874 12613395832 14190070311 18920093748 25226791664 28380140622 37840187496 50453583328 56760281244 75680374992 100907166656 113520562488 151360749984 201814333312 227041124976 302721499968 454082249952 605442999936 908164499904 1816328999808