Search a number
-
+
13427752029 = 319237437793
BaseRepresentation
bin11001000000101101…
…10011110001011101
31021122210200110221020
430200112303301131
5210000001031104
610100231154353
7653516003046
oct144026636135
937583613836
1013427752029
11577068592a
122728b159b9
13135cbac003
149154b58cd
15538c982d9
hex3205b3c5d

13427752029 has 48 divisors (see below), whose sum is σ = 19860109632. Its totient is φ = 8058548736.

The previous prime is 13427752007. The next prime is 13427752033. The reversal of 13427752029 is 92025772431.

13427752029 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 13427752029 - 27 = 13427751901 is a prime.

It is a super-3 number, since 3×134277520293 (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13427750029) 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 47 ways as a sum of consecutive naturals, for example, 1719157 + ... + 1726949.

It is an arithmetic number, because the mean of its divisors is an integer number (413752284).

Almost surely, 213427752029 is an apocalyptic number.

13427752029 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

13427752029 is a deficient number, since it is larger than the sum of its proper divisors (6432357603).

13427752029 is a wasteful number, since it uses less digits than its factorization.

13427752029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7914 (or 7895 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 13427752029 in words is "thirteen billion, four hundred twenty-seven million, seven hundred fifty-two thousand, twenty-nine".

Divisors: 1 3 19 37 43 57 111 129 361 703 817 1083 1591 2109 2451 4773 7793 13357 15523 23379 30229 40071 46569 90687 148067 288341 335099 444201 574351 865023 1005297 1723053 2813273 5478479 6366881 8439819 12398663 16435437 19100643 37195989 104091101 120970739 235574597 312273303 362912217 706723791 4475917343 13427752029