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1999068192 = 2532113112029
BaseRepresentation
bin111011100100111…
…0101110000100000
312011022121012000200
41313021311300200
513043230140232
6530210545200
7100352541102
oct16711656040
95138535020
101999068192
11936470580
12479598200
1325b20c1b4
1414d6d5572
15ba77b77c
hex77275c20

1999068192 has 144 divisors (see below), whose sum is σ = 6224662080. Its totient is φ = 603532800.

The previous prime is 1999068173. The next prime is 1999068193. The reversal of 1999068192 is 2918609991.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×19990681922 = 7992547272532297728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1999068193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 984234 + ... + 986262.

It is an arithmetic number, because the mean of its divisors is an integer number (43226820).

Almost surely, 21999068192 is an apocalyptic number.

1999068192 is a gapful number since it is divisible by the number (12) 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 1999068192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112331040).

1999068192 is an abundant number, since it is smaller than the sum of its proper divisors (4225593888).

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

1999068192 is a wasteful number, since it uses less digits than its factorization.

1999068192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The square root of 1999068192 is about 44710.9404061243. The cubic root of 1999068192 is about 1259.7253520807.

The spelling of 1999068192 in words is "one billion, nine hundred ninety-nine million, sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 311 352 396 528 622 792 933 1056 1244 1584 1866 2029 2488 2799 3168 3421 3732 4058 4976 5598 6087 6842 7464 8116 9952 10263 11196 12174 13684 14928 16232 18261 20526 22319 22392 24348 27368 29856 30789 32464 36522 41052 44638 44784 48696 54736 61578 64928 66957 73044 82104 89276 89568 97392 109472 123156 133914 146088 164208 178552 194784 200871 246312 267828 292176 328416 357104 401742 492624 535656 584352 631019 714208 803484 985248 1071312 1262038 1606968 1893057 2142624 2524076 3213936 3786114 5048152 5679171 6427872 6941209 7572228 10096304 11358342 13882418 15144456 20192608 20823627 22716684 27764836 30288912 41647254 45433368 55529672 60577824 62470881 83294508 90866736 111059344 124941762 166589016 181733472 222118688 249883524 333178032 499767048 666356064 999534096 1999068192