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58142514447 = 3322912317639
BaseRepresentation
bin110110001001100100…
…000101110100001111
312120002001101202121000
4312021210011310033
51423033440430242
642413231511343
74125553134633
oct661144056417
9176061352530
1058142514447
1122726a2a736
12b327988553
135637990804
142b57cd4dc3
1517a4641a4c
hexd89905d0f

58142514447 has 32 divisors (see below), whose sum is σ = 86594816000. Its totient is φ = 38556012960.

The previous prime is 58142514427. The next prime is 58142514467. The reversal of 58142514447 is 74441524185.

58142514447 is a `hidden beast` number, since 5 + 81 + 425 + 144 + 4 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (58142514427) and next prime (58142514467).

It is not a de Polignac number, because 58142514447 - 210 = 58142513423 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58142514427) 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 31 ways as a sum of consecutive naturals, for example, 7607454 + ... + 7615092.

It is an arithmetic number, because the mean of its divisors is an integer number (2706088000).

Almost surely, 258142514447 is an apocalyptic number.

58142514447 is a deficient number, since it is larger than the sum of its proper divisors (28452301553).

58142514447 is a wasteful number, since it uses less digits than its factorization.

58142514447 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9108 (or 9102 counting only the distinct ones).

The product of its digits is 716800, while the sum is 45.

The spelling of 58142514447 in words is "fifty-eight billion, one hundred forty-two million, five hundred fourteen thousand, four hundred forty-seven".

Divisors: 1 3 9 27 229 687 1231 2061 3693 6183 7639 11079 22917 33237 68751 206253 281899 845697 1749331 2537091 5247993 7611273 9403609 15743979 28210827 47231937 84632481 253897443 2153426461 6460279383 19380838149 58142514447