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16442003361252 = 22376592161137447
BaseRepresentation
bin1110111101000011001111…
…0001010000110111100100
32011012211200111002000012210
43233100303301100313210
54123341210330030002
654545204014043420
73314616112421610
oct357206361206744
964184614060183
1016442003361252
11526a018289867
121a166a17a9570
13923621c5c161
1440bb23780340
151d7a630d496c
hexef433c50de4

16442003361252 has 96 divisors (see below), whose sum is σ = 43932515235840. Its totient is φ = 4688382021120.

The previous prime is 16442003361241. The next prime is 16442003361313. The reversal of 16442003361252 is 25216330024461.

It is a super-3 number, since 3×164420033612523 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16442003361252.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119555593 + ... + 119693039.

It is an arithmetic number, because the mean of its divisors is an integer number (457630367040).

Almost surely, 216442003361252 is an apocalyptic number.

16442003361252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16442003361252 is an abundant number, since it is smaller than the sum of its proper divisors (27490511874588).

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

16442003361252 is a wasteful number, since it uses less digits than its factorization.

16442003361252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140281 (or 140279 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 16442003361252 in words is "sixteen trillion, four hundred forty-two billion, three million, three hundred sixty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 659 1318 1977 2161 2636 3954 4322 4613 6483 7908 8644 9226 12966 13839 15127 18452 25932 27678 30254 45381 55356 60508 90762 137447 181524 274894 412341 549788 824682 962129 1424099 1649364 1924258 2848198 2886387 3848516 4272297 5696396 5772774 8544594 9968693 11545548 17089188 19937386 29906079 39874772 59812158 90577573 119624316 181155146 271732719 297022967 362310292 543465438 594045934 634043011 891068901 1086930876 1188091868 1268086022 1782137802 1902129033 2079160769 2536172044 3564275604 3804258066 4158321538 6237482307 7608516132 8316643076 12474964614 24949929228 195738135253 391476270506 587214405759 782952541012 1174428811518 1370166946771 2348857623036 2740333893542 4110500840313 5480667787084 8221001680626 16442003361252