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2042057259312 = 243727132240159
BaseRepresentation
bin11101101101110100000…
…110001111100100110000
321020012220110222222200220
4131231310012033210300
5231424113124244222
64202035210013040
7300351040211310
oct35556406174460
97205813888626
102042057259312
117180390a5234
1228b920a17180
1311a7468bb625
1470b9c37d440
15381ba3d7b5c
hex1db7418f930

2042057259312 has 80 divisors (see below), whose sum is σ = 6031155886080. Its totient is φ = 583229615616.

The previous prime is 2042057259311. The next prime is 2042057259323. The reversal of 2042057259312 is 2139527502402.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2042057259311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208512 + ... + 2031647.

It is an arithmetic number, because the mean of its divisors is an integer number (75389448576).

Almost surely, 22042057259312 is an apocalyptic number.

It is an amenable number.

2042057259312 is an abundant number, since it is smaller than the sum of its proper divisors (3989098626768).

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

2042057259312 is a wasteful number, since it uses less digits than its factorization.

2042057259312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242890 (or 2242884 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 2042057259312 in words is "two trillion, forty-two billion, fifty-seven million, two hundred fifty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2713 5426 8139 10852 16278 18991 21704 32556 37982 43408 56973 65112 75964 113946 130224 151928 227892 303856 455784 911568 2240159 4480318 6720477 8960636 13440954 15681113 17921272 26881908 31362226 35842544 47043339 53763816 62724452 94086678 107527632 125448904 188173356 250897808 376346712 752693424 6077551367 12155102734 18232654101 24310205468 36465308202 42542859569 48620410936 72930616404 85085719138 97240821872 127628578707 145861232808 170171438276 255257157414 291722465616 340342876552 510514314828 680685753104 1021028629656 2042057259312