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41057546341 = 72837909109
BaseRepresentation
bin100110001111001110…
…000111000001100101
310220222101000110100111
4212033032013001211
51133041212440331
630510033413021
72652305246200
oct461716070145
9126871013314
1041057546341
1116459a07289
127b5a10a171
133b441ba926
141db6c18937
151104783db1
hex98f387065

41057546341 has 6 divisors (see below), whose sum is σ = 47760819270. Its totient is φ = 35192182536.

The previous prime is 41057546279. The next prime is 41057546347. The reversal of 41057546341 is 14364575014.

It can be written as a sum of positive squares in only one way, i.e., 26196717316 + 14860829025 = 161854^2 + 121905^2 .

It is not a de Polignac number, because 41057546341 - 27 = 41057546213 is a prime.

It is a super-2 number, since 2×410575463412 (a number of 22 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 = 41057546294 and 41057546303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41057546347) 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 5 ways as a sum of consecutive naturals, for example, 418954506 + ... + 418954603.

It is an arithmetic number, because the mean of its divisors is an integer number (7960136545).

Almost surely, 241057546341 is an apocalyptic number.

It is an amenable number.

41057546341 is a deficient number, since it is larger than the sum of its proper divisors (6703272929).

41057546341 is an equidigital number, since it uses as much as digits as its factorization.

41057546341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837909123 (or 837909116 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 41057546341 in words is "forty-one billion, fifty-seven million, five hundred forty-six thousand, three hundred forty-one".

Divisors: 1 7 49 837909109 5865363763 41057546341