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42084212963 = 13171910022437
BaseRepresentation
bin100111001100011010…
…100010000011100011
311000121220212112012012
4213030122202003203
51142142024303323
631155550423135
73016612623302
oct471432420343
9130556775165
1042084212963
11169364940a1
1281a5b01aab
133c78b03780
142073308439
151164981678
hex9cc6a20e3

42084212963 has 16 divisors (see below), whose sum is σ = 50513087520. Its totient is φ = 34637538816.

The previous prime is 42084212939. The next prime is 42084212971. The reversal of 42084212963 is 36921248024.

It is a cyclic number.

It is not a de Polignac number, because 42084212963 - 26 = 42084212899 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42084212963.

It is not an unprimeable number, because it can be changed into a prime (42084212923) 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, 5007020 + ... + 5015417.

It is an arithmetic number, because the mean of its divisors is an integer number (3157067970).

Almost surely, 242084212963 is an apocalyptic number.

42084212963 is a deficient number, since it is larger than the sum of its proper divisors (8428874557).

42084212963 is a wasteful number, since it uses less digits than its factorization.

42084212963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10022486.

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 42084212963 in words is "forty-two billion, eighty-four million, two hundred twelve thousand, nine hundred sixty-three".

Divisors: 1 13 17 19 221 247 323 4199 10022437 130291681 170381429 190426303 2214958577 2475541939 3237247151 42084212963