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13552504340 = 2251111960943
BaseRepresentation
bin11001001111100101…
…01100111000010100
31021222111102112221012
430213302230320110
5210223420114330
610120445111352
7656562246314
oct144762547024
937874375835
1013552504340
115825043111
122762858558
13137c9ab04b
14927cab444
15544bdbc95
hex327cace14

13552504340 has 24 divisors (see below), whose sum is σ = 28463285760. Its totient is φ = 5420425248.

The previous prime is 13552504331. The next prime is 13552504349. The reversal of 13552504340 is 4340525531.

It is a happy number.

13552504340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13552504331) and next prime (13552504349).

It is a junction number, because it is equal to n+sod(n) for n = 13552504297 and 13552504306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13552504349) 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, 191909 + ... + 252851.

It is an arithmetic number, because the mean of its divisors is an integer number (1185970240).

Almost surely, 213552504340 is an apocalyptic number.

13552504340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13552504340 is an abundant number, since it is smaller than the sum of its proper divisors (14910781420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13552504340 is a wasteful number, since it uses less digits than its factorization.

13552504340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72071 (or 72069 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 13552504340 in words is "thirteen billion, five hundred fifty-two million, five hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 11119 22238 44476 55595 60943 111190 121886 222380 243772 304715 609430 1218860 677625217 1355250434 2710500868 3388126085 6776252170 13552504340