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643725440131 = 41127354134913
BaseRepresentation
bin10010101111000010000…
…01101011010010000011
32021112120022222120002211
421113201001223102003
541021322203041011
61211420130122551
764336054650214
oct11274101532203
92245508876084
10643725440131
11229003257984
12a4912420457
134891a79ccc7
142322953540b
1511b28943b21
hex95e106b483

643725440131 has 16 divisors (see below), whose sum is σ = 664825125888. Its totient is φ = 622885939200.

The previous prime is 643725440077. The next prime is 643725440173. The reversal of 643725440131 is 131044527346.

It is a cyclic number.

It is not a de Polignac number, because 643725440131 - 29 = 643725439619 is a prime.

It is a super-2 number, since 2×6437254401312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (643725441131) 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, 18420531 + ... + 18455443.

It is an arithmetic number, because the mean of its divisors is an integer number (41551570368).

Almost surely, 2643725440131 is an apocalyptic number.

643725440131 is a deficient number, since it is larger than the sum of its proper divisors (21099685757).

643725440131 is a wasteful number, since it uses less digits than its factorization.

643725440131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38622.

The product of its (nonzero) digits is 241920, while the sum is 40.

Adding to 643725440131 its reverse (131044527346), we get a palindrome (774769967477).

The spelling of 643725440131 in words is "six hundred forty-three billion, seven hundred twenty-five million, four hundred forty thousand, one hundred thirty-one".

Divisors: 1 41 127 3541 5207 34913 145181 449707 1431433 4433951 18437987 123626933 181791991 5068704253 15700620491 643725440131