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13803725471 = 23241897151
BaseRepresentation
bin11001101101100010…
…00010001010011111
31022122000010220112112
430312301002022133
5211232223203341
610201421424235
7666032505404
oct146661021237
938560126475
1013803725471
115943930288
122812a0b07b
1313bca5a4c3
1494d3c42ab
1555bcb2aeb
hex336c4229f

13803725471 has 24 divisors (see below), whose sum is σ = 14950111680. Its totient is φ = 12735008000.

The previous prime is 13803725431. The next prime is 13803725543. The reversal of 13803725471 is 17452730831.

13803725471 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13803725471 - 26 = 13803725407 is a prime.

It is a super-3 number, since 3×138037254713 (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13803725431) 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 23 ways as a sum of consecutive naturals, for example, 1926746 + ... + 1933896.

It is an arithmetic number, because the mean of its divisors is an integer number (622921320).

Almost surely, 213803725471 is an apocalyptic number.

13803725471 is a deficient number, since it is larger than the sum of its proper divisors (1146386209).

13803725471 is an equidigital number, since it uses as much as digits as its factorization.

13803725471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7327 (or 7304 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 13803725471 in words is "thirteen billion, eight hundred three million, seven hundred twenty-five thousand, four hundred seventy-one".

Divisors: 1 23 41 89 529 943 2047 3649 7151 21689 47081 83927 164473 293191 636439 1930321 3782879 6743393 14638097 26093999 155098039 336676231 600161977 13803725471