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625404132041 = 132571373136337
BaseRepresentation
bin10010001100111001111…
…11011011101011001001
32012210021111012200020112
421012130333123223021
540221311424211131
61155150125004105
763120045260633
oct11063477335311
92183244180215
10625404132041
11221261367a47
12a125a6b3635
1346c8ab20cc0
14223ac189a53
151140526d02b
hex919cfdbac9

625404132041 has 16 divisors (see below), whose sum is σ = 676630224144. Its totient is φ = 574626791424.

The previous prime is 625404132029. The next prime is 625404132091. The reversal of 625404132041 is 140231404526.

It can be written as a sum of positive squares in 8 ways, for example, as 62898132025 + 562506000016 = 250795^2 + 750004^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-625404132041 is a prime.

It is a super-2 number, since 2×6254041320412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 625404131989 and 625404132007.

It is not an unprimeable number, because it can be changed into a prime (625404132011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4519025 + ... + 4655361.

It is an arithmetic number, because the mean of its divisors is an integer number (42289389009).

Almost surely, 2625404132041 is an apocalyptic number.

It is an amenable number.

625404132041 is a deficient number, since it is larger than the sum of its proper divisors (51226092103).

625404132041 is a wasteful number, since it uses less digits than its factorization.

625404132041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137980.

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 625404132041 its reverse (140231404526), we get a palindrome (765635536567).

The spelling of 625404132041 in words is "six hundred twenty-five billion, four hundred four million, one hundred thirty-two thousand, forty-one".

Divisors: 1 13 257 1373 3341 17849 136337 352861 1772381 4587193 35038609 187190701 455501917 2433479113 48108010157 625404132041