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28083635401349 = 1153215322373851
BaseRepresentation
bin1100110001010101110110…
…00111001011001010000101
310200102202202211121111122102
412120222323013023022011
512140110241130320344
6135421235523041445
75625655444150403
oct630527307131205
9120382684544572
1028083635401349
118a48226055180
123196968810285
131289377236458
146d13803dc473
1533a7be520e4e
hex198abb1cb285

28083635401349 has 16 divisors (see below), whose sum is σ = 31229243630784. Its totient is φ = 25037233104000.

The previous prime is 28083635401343. The next prime is 28083635401351. The reversal of 28083635401349 is 94310453638082.

It is a cyclic number.

It is not a de Polignac number, because 28083635401349 - 28 = 28083635401093 is a prime.

It is a super-3 number, since 3×280836354013493 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 28083635401294 and 28083635401303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28083635401343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9931727 + ... + 12442124.

It is an arithmetic number, because the mean of its divisors is an integer number (1951827726924).

Almost surely, 228083635401349 is an apocalyptic number.

It is an amenable number.

28083635401349 is a deficient number, since it is larger than the sum of its proper divisors (3145608229435).

28083635401349 is a wasteful number, since it uses less digits than its factorization.

28083635401349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22376068.

The product of its (nonzero) digits is 14929920, while the sum is 56.

The spelling of 28083635401349 in words is "twenty-eight trillion, eighty-three billion, six hundred thirty-five million, four hundred one thousand, three hundred forty-nine".

Divisors: 1 11 53 583 2153 23683 114109 1255199 22373851 246112361 1185814103 13043955133 48170901203 529879913233 2553057763759 28083635401349