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42884103969 = 337376199907
BaseRepresentation
bin100111111100000101…
…110111111100100001
311002200200000012101000
4213330011313330201
51200311312311334
631411203102213
73045464604120
oct477405677441
9132620005330
1042884103969
1117206a60043
128389971969
134075748b65
14210b645ab7
1511aecd6299
hex9fc177f21

42884103969 has 64 divisors (see below), whose sum is σ = 74698393600. Its totient is φ = 23801978304.

The previous prime is 42884103959. The next prime is 42884103971. The reversal of 42884103969 is 96930148824.

It is not a de Polignac number, because 42884103969 - 25 = 42884103937 is a prime.

It is a super-2 number, since 2×428841039692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42884103929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4323714 + ... + 4333620.

It is an arithmetic number, because the mean of its divisors is an integer number (1167162400).

Almost surely, 242884103969 is an apocalyptic number.

It is an amenable number.

42884103969 is a deficient number, since it is larger than the sum of its proper divisors (31814289631).

42884103969 is a wasteful number, since it uses less digits than its factorization.

42884103969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10579 (or 10573 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 42884103969 in words is "forty-two billion, eight hundred eighty-four million, one hundred three thousand, nine hundred sixty-nine".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 333 619 777 999 1857 2331 4333 5571 6993 9907 12999 16713 22903 29721 38997 68709 69349 89163 116991 160321 206127 208047 267489 366559 480963 618381 624141 1099677 1442889 1872423 2565913 3299031 4328667 6132433 7697739 9897093 18397299 23093217 42927031 55191897 69279651 128781093 165575691 226900021 386343279 680700063 1159029837 1588300147 2042100189 4764900441 6126300567 14294701323 42884103969