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13508987453 = 1323719111311
BaseRepresentation
bin11001001010011001…
…01100101000111101
31021212110112122222122
430211030230220331
5210131300044303
610112252252325
7655523333033
oct144514545075
937773478878
1013508987453
115802520245
1227501710a5
131373982800
149221c0553
15540e92e38
hex32532ca3d

13508987453 has 24 divisors (see below), whose sum is σ = 15103420416. Its totient is φ = 12068222400.

The previous prime is 13508987449. The next prime is 13508987461. The reversal of 13508987453 is 35478980531.

13508987453 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 13508987453 - 22 = 13508987449 is a prime.

It is a super-2 number, since 2×135089874532 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13508987395 and 13508987404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13508987413) 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, 1188668 + ... + 1199978.

It is an arithmetic number, because the mean of its divisors is an integer number (629309184).

Almost surely, 213508987453 is an apocalyptic number.

13508987453 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13508987453 is a deficient number, since it is larger than the sum of its proper divisors (1594432963).

13508987453 is a wasteful number, since it uses less digits than its factorization.

13508987453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11565 (or 11552 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 13508987453 in words is "thirteen billion, five hundred eight million, nine hundred eighty-seven thousand, four hundred fifty-three".

Divisors: 1 13 37 169 191 481 2483 6253 7067 11311 32279 91871 147043 418507 1194323 1911559 2160401 5440591 28085213 70727683 79934837 365107769 1039152881 13508987453