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13552394667 = 372439192333
BaseRepresentation
bin11001001111100100…
…10010000110101011
31021222111012222111020
430213302102012223
5210223403112132
610120442503523
7656561311500
oct144762220653
937874188436
1013552394667
115824a78779
122762804ba3
13137c970156
14927c7d4a7
15544bb952c
hex327c921ab

13552394667 has 48 divisors (see below), whose sum is σ = 21541512960. Its totient is φ = 7552657728.

The previous prime is 13552394591. The next prime is 13552394671. The reversal of 13552394667 is 76649325531.

It is a happy number.

13552394667 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 13552394667 - 27 = 13552394539 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13552394267) 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, 5807833 + ... + 5810165.

It is an arithmetic number, because the mean of its divisors is an integer number (448781520).

Almost surely, 213552394667 is an apocalyptic number.

13552394667 is a deficient number, since it is larger than the sum of its proper divisors (7989118293).

13552394667 is a wasteful number, since it uses less digits than its factorization.

13552394667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 3305 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 51.

The spelling of 13552394667 in words is "thirteen billion, five hundred fifty-two million, three hundred ninety-four thousand, six hundred sixty-seven".

Divisors: 1 3 7 21 43 49 129 147 301 903 919 2107 2333 2757 6321 6433 6999 16331 19299 39517 45031 48993 100319 114317 118551 135093 276619 300957 342951 702233 829857 1936333 2106699 2144027 4915631 5808999 6432081 14746893 15008189 45024567 92193161 105057323 276579483 315171969 645352127 1936056381 4517464889 13552394667