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42334560961 = 7113271168083
BaseRepresentation
bin100111011011010101…
…100010001011000001
311001021100221112002021
4213123111202023001
51143200121422321
631240452321441
73026042554660
oct473325421301
9131240845067
1042334560961
1116a54835270
128255913281
133cb8938694
142098674dd7
15117b933941
hex9db5622c1

42334560961 has 16 divisors (see below), whose sum is σ = 52797201408. Its totient is φ = 32977688400.

The previous prime is 42334560959. The next prime is 42334561109. The reversal of 42334560961 is 16906543324.

It is a cyclic number.

It is not a de Polignac number, because 42334560961 - 21 = 42334560959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42334560941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167826 + ... + 335908.

It is an arithmetic number, because the mean of its divisors is an integer number (3299825088).

Almost surely, 242334560961 is an apocalyptic number.

It is an amenable number.

42334560961 is a deficient number, since it is larger than the sum of its proper divisors (10462640447).

42334560961 is a wasteful number, since it uses less digits than its factorization.

42334560961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171372.

The product of its (nonzero) digits is 466560, while the sum is 43.

The spelling of 42334560961 in words is "forty-two billion, three hundred thirty-four million, five hundred sixty thousand, nine hundred sixty-one".

Divisors: 1 7 11 77 3271 22897 35981 168083 251867 1176581 1848913 12942391 549799493 3848596451 6047794423 42334560961