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13694336575056 = 243343397305797
BaseRepresentation
bin1100011101000111011000…
…0100010010011001010000
31210111011110212021010112000
43013101312010102121100
53243332000130400211
645043031423034000
72612245266201054
oct307216604223120
953434425233460
1013694336575056
1143aa80aa93405
12165207973b900
137844a79c2027
14354b490d1c64
1518b34b43c656
hexc7476112650

13694336575056 has 80 divisors (see below), whose sum is σ = 39316882516800. Its totient is φ = 4563726198912.

The previous prime is 13694336575021. The next prime is 13694336575063. The reversal of 13694336575056 is 65057563349631.

13694336575056 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 4 + 3 + 3 + 6 + 575 + 0 + 56 = 666.

It is a super-3 number, since 3×136943365750563 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13694336574984 and 13694336575002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1778451 + ... + 5527346.

It is an arithmetic number, because the mean of its divisors is an integer number (491461031460).

Almost surely, 213694336575056 is an apocalyptic number.

13694336575056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13694336575056 is an abundant number, since it is smaller than the sum of its proper divisors (25622545941744).

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

13694336575056 is a wasteful number, since it uses less digits than its factorization.

13694336575056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7310153 (or 7310141 counting only the distinct ones).

The product of its (nonzero) digits is 183708000, while the sum is 63.

The spelling of 13694336575056 in words is "thirteen trillion, six hundred ninety-four billion, three hundred thirty-six million, five hundred seventy-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 4339 8678 13017 17356 26034 34712 39051 52068 69424 78102 104136 117153 156204 208272 234306 312408 468612 624816 937224 1874448 7305797 14611594 21917391 29223188 43834782 58446376 65752173 87669564 116892752 131504346 175339128 197256519 263008692 350678256 394513038 526017384 789026076 1052034768 1578052152 3156104304 31699853183 63399706366 95099559549 126799412732 190199119098 253598825464 285298678647 380398238196 507197650928 570597357294 760796476392 855896035941 1141194714588 1521592952784 1711792071882 2282389429176 3423584143764 4564778858352 6847168287528 13694336575056