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1001998991988 = 22321916749917579
BaseRepresentation
bin11101001010010111100…
…10110100001001110100
310112210100000212201222100
432211023302310021310
5112404043220220423
62044151215502100
7132251316622011
oct16451362641164
93483300781870
101001998991988
11356a44344195
1214223b527930
137364647c137
14366d5b1c708
151b0e6eca343
hexe94bcb4274

1001998991988 has 144 divisors (see below), whose sum is σ = 2687630400000. Its totient is φ = 313877830464.

The previous prime is 1001998991971. The next prime is 1001998992013. The reversal of 1001998991988 is 8891998991001.

1001998991988 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56990983 + ... + 57008561.

It is an arithmetic number, because the mean of its divisors is an integer number (18664100000).

Almost surely, 21001998991988 is an apocalyptic number.

1001998991988 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 1001998991988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343815200000).

1001998991988 is an abundant number, since it is smaller than the sum of its proper divisors (1685631408012).

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

1001998991988 is a wasteful number, since it uses less digits than its factorization.

1001998991988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18274 (or 18269 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 72.

The spelling of 1001998991988 in words is "one trillion, one billion, nine hundred ninety-eight million, nine hundred ninety-one thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 167 171 228 334 342 499 501 668 684 998 1002 1497 1503 1996 2004 2994 3006 3173 4491 5988 6012 6346 8982 9481 9519 12692 17579 17964 18962 19038 28443 28557 35158 37924 38076 52737 56886 57114 70316 83333 85329 105474 113772 114228 158211 166666 170658 210948 249999 316422 333332 334001 341316 499998 632844 668002 749997 999996 1002003 1336004 1499994 1583327 2004006 2935693 2999988 3006009 3166654 4008012 4749981 5871386 6012018 6333308 8771921 8807079 9499962 11742772 12024036 14249943 17543842 17614158 18999924 26315763 26421237 28499886 35087684 35228316 52631526 52842474 55778167 56999772 78947289 105263052 105684948 111556334 157894578 166666499 167334501 223112668 315789156 333332998 334669002 499999497 502003503 666665996 669338004 999998994 1004007006 1464910807 1499998491 1999997988 2008014012 2929821614 2999996982 4394732421 5859643228 5999993964 8789464842 13184197263 17578929684 26368394526 27833305333 52736789052 55666610666 83499915999 111333221332 166999831998 250499747997 333999663996 500999495994 1001998991988