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291401638541 = 13193311596229
BaseRepresentation
bin1000011110110001110…
…01000010001010001101
31000212011021121000020022
410033120321002022031
514233242304413131
6341511300231525
730024130026206
oct4173071021215
91025137530208
10291401638541
111026456a0052
124858599b5a5
132162c644970
14101651da5ad
1578a78bb37b
hex43d8e4228d

291401638541 has 8 divisors (see below), whose sum is σ = 313979523480. Its totient is φ = 268846949952.

The previous prime is 291401638499. The next prime is 291401638553. The reversal of 291401638541 is 145836104192.

It can be written as a sum of positive squares in 4 ways, for example, as 10232334025 + 281169304516 = 101155^2 + 530254^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 291401638541 - 230 = 290327896717 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 291401638492 and 291401638501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (291401638141) 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 7 ways as a sum of consecutive naturals, for example, 5772986 + ... + 5823243.

It is an arithmetic number, because the mean of its divisors is an integer number (39247440435).

Almost surely, 2291401638541 is an apocalyptic number.

It is an amenable number.

291401638541 is a deficient number, since it is larger than the sum of its proper divisors (22577884939).

291401638541 is a wasteful number, since it uses less digits than its factorization.

291401638541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11598175.

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 291401638541 in words is "two hundred ninety-one billion, four hundred one million, six hundred thirty-eight thousand, five hundred forty-one".

Divisors: 1 13 1933 25129 11596229 150750977 22415510657 291401638541