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13004819691479 = 7115319916013441
BaseRepresentation
bin1011110100111110101110…
…1010000111011111010111
31201001020201020121020001022
42331033223222013133113
53201032332320111404
643354155351151355
72511365361324140
oct275175352073727
951036636536038
1013004819691479
1141643497542a0
12156050797555b
13734470365875
1432d61818cac7
151784428738be
hexbd3eba877d7

13004819691479 has 32 divisors (see below), whose sum is σ = 16602736665600. Its totient is φ = 9892462694400.

The previous prime is 13004819691473. The next prime is 13004819691497. The reversal of 13004819691479 is 97419691840031.

It is not a de Polignac number, because 13004819691479 - 212 = 13004819687383 is a prime.

It is a super-3 number, since 3×130048196914793 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004819691473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7194602 + ... + 8818839.

It is an arithmetic number, because the mean of its divisors is an integer number (518835520800).

Almost surely, 213004819691479 is an apocalyptic number.

13004819691479 is a deficient number, since it is larger than the sum of its proper divisors (3597916974121).

13004819691479 is a wasteful number, since it uses less digits than its factorization.

13004819691479 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16013711.

The product of its (nonzero) digits is 11757312, while the sum is 62.

The spelling of 13004819691479 in words is "thirteen trillion, four billion, eight hundred nineteen million, six hundred ninety-one thousand, four hundred seventy-nine".

Divisors: 1 7 11 53 77 199 371 583 1393 2189 4081 10547 15323 73829 116017 812119 16013441 112094087 176147851 848712373 1233034957 3186674759 5940986611 9335836103 22306723313 35053422349 65350852721 168893762227 245373956443 1182256335589 1857831384497 13004819691479