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42584169676 = 22291678232671
BaseRepresentation
bin100111101010001101…
…101101110011001100
311001220202121221212111
4213222031231303030
51144203021412201
631321330313404
73035163320116
oct475215556314
9131822557774
1042584169676
1117072720a64
128305428864
134028571c49
1420bd88c3b6
1511937dbb51
hex9ea36dccc

42584169676 has 48 divisors (see below), whose sum is σ = 77676963840. Its totient is φ = 20402303040.

The previous prime is 42584169643. The next prime is 42584169679. The reversal of 42584169676 is 67696148524.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 42584169676.

It is not an unprimeable number, because it can be changed into a prime (42584169679) 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, 15941821 + ... + 15944491.

It is an arithmetic number, because the mean of its divisors is an integer number (1618270080).

Almost surely, 242584169676 is an apocalyptic number.

It is an amenable number.

42584169676 is a deficient number, since it is larger than the sum of its proper divisors (35092794164).

42584169676 is a wasteful number, since it uses less digits than its factorization.

42584169676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694 (or 3692 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 58.

The spelling of 42584169676 in words is "forty-two billion, five hundred eighty-four million, one hundred sixty-nine thousand, six hundred seventy-six".

Divisors: 1 2 4 29 58 116 167 334 668 823 1646 2671 3292 4843 5342 9686 10684 19372 23867 47734 77459 95468 137441 154918 274882 309836 446057 549764 892114 1784228 2198233 3985789 4396466 7971578 8792932 12935653 15943156 25871306 51742612 63748757 127497514 254995028 367104911 734209822 1468419644 10646042419 21292084838 42584169676