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2041981974864 = 2433131911903669
BaseRepresentation
bin11101101101101111100…
…111000011100101010000
321020012201020100010212000
4131231233213003211100
5231423434341143424
64202023520234000
7300346134255156
oct35555747034520
97205636303760
102041981974864
11717aaa654987
1228b8bb76b900
1311a73411c710
1470b923833d6
15381b39b63c9
hex1db6f9c3950

2041981974864 has 160 divisors (see below), whose sum is σ = 6345160550400. Its totient is φ = 625012277760.

The previous prime is 2041981974841. The next prime is 2041981974887. The reversal of 2041981974864 is 4684791891402.

2041981974864 is a `hidden beast` number, since 20 + 41 + 9 + 8 + 1 + 97 + 486 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2041981974841) and next prime (2041981974887).

It is a congruent number.

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, 120822 + ... + 2024490.

It is an arithmetic number, because the mean of its divisors is an integer number (39657253440).

Almost surely, 22041981974864 is an apocalyptic number.

2041981974864 is a gapful number since it is divisible by the number (24) 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 2041981974864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172580275200).

2041981974864 is an abundant number, since it is smaller than the sum of its proper divisors (4303178575536).

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

2041981974864 is a wasteful number, since it uses less digits than its factorization.

2041981974864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903890 (or 1903878 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 2041981974864 in words is "two trillion, forty-one billion, nine hundred eighty-one million, nine hundred seventy-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 191 208 216 234 312 351 382 432 468 573 624 702 764 936 1146 1404 1528 1719 1872 2292 2483 2808 3056 3438 4584 4966 5157 5616 6876 7449 9168 9932 10314 13752 14898 19864 20628 22347 27504 29796 39728 41256 44694 59592 67041 82512 89388 119184 134082 178776 268164 357552 536328 1072656 1903669 3807338 5711007 7614676 11422014 15229352 17133021 22844028 24747697 30458704 34266042 45688056 49495394 51399063 68532084 74243091 91376112 98990788 102798126 137064168 148486182 197981576 205596252 222729273 274128336 296972364 363600779 395963152 411192504 445458546 593944728 668187819 727201558 822385008 890917092 1090802337 1187889456 1336375638 1454403116 1781834184 2181604674 2672751276 2908806232 3272407011 3563668368 4363209348 4726810127 5345502552 5817612464 6544814022 8726418696 9453620254 9817221033 10691005104 13089628044 14180430381 17452837392 18907240508 19634442066 26179256088 28360860762 37814481016 39268884132 42541291143 52358512176 56721721524 75628962032 78537768264 85082582286 113443443048 127623873429 157075536528 170165164572 226886886096 255247746858 340330329144 510495493716 680660658288 1020990987432 2041981974864