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13356071641125 = 32531089592
BaseRepresentation
bin1100001001011011001111…
…1001111110000000100101
31202021211100121010001110200
43002112303321332000211
53222311213320004000
644223410011341113
72545641622535313
oct302266371760045
952254317101420
1013356071641125
11428a307281974
1215b85b5451799
1375b61a4172a5
14342619dd50b3
1518264e775500
hexc25b3e7e025

13356071641125 has 36 divisors (see below), whose sum is σ = 24076766115948. Its totient is φ = 7123172833200.

The previous prime is 13356071641117. The next prime is 13356071641183. The reversal of 13356071641125 is 52114617065331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13356071641125 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 607 + 1 + 6 + 4 + 11 + 25 = 666.

13356071641125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 427394292516 + 12928677348609 = 653754^2 + 3595647^2 .

It is not a de Polignac number, because 13356071641125 - 23 = 13356071641117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122524396 + ... + 122633354.

Almost surely, 213356071641125 is an apocalyptic number.

13356071641125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13356071641125 is a deficient number, since it is larger than the sum of its proper divisors (10720694474823).

13356071641125 is an frugal number, since it uses more digits than its factorization.

13356071641125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217939 (or 108967 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

Multiplying 13356071641125 by its sum of digits (45), we get a square (601023223850625 = 245157752).

13356071641125 divided by its sum of digits (45) gives a square (296801592025 = 5447952).

The spelling of 13356071641125 in words is "thirteen trillion, three hundred fifty-six billion, seventy-one million, six hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 108959 326877 544795 980631 1634385 2723975 4903155 8171925 13619875 24515775 40859625 122578875 11872063681 35616191043 59360318405 106848573129 178080955215 296801592025 534242865645 890404776075 1484007960125 2671214328225 4452023880375 13356071641125