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13441527125 = 531341229881
BaseRepresentation
bin11001000010010110…
…10110110101010101
31021200202121022210222
430201023112311111
5210012012332000
610101442324125
7654044044505
oct144113266525
937622538728
1013441527125
115778434304
122731659645
1313629c2c60
1491725da05
1553a0b9a85
hex3212d6d55

13441527125 has 64 divisors (see below), whose sum is σ = 18607942080. Its totient is φ = 9630720000.

The previous prime is 13441527053. The next prime is 13441527131. The reversal of 13441527125 is 52172514431.

13441527125 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 32 ways, for example, as 12835530436 + 605996689 = 113294^2 + 24617^2 .

It is not a de Polignac number, because 13441527125 - 28 = 13441526869 is a prime.

It is a super-2 number, since 2×134415271252 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 15256685 + ... + 15257565.

It is an arithmetic number, because the mean of its divisors is an integer number (290749095).

Almost surely, 213441527125 is an apocalyptic number.

It is an amenable number.

13441527125 is a deficient number, since it is larger than the sum of its proper divisors (5166414955).

13441527125 is a wasteful number, since it uses less digits than its factorization.

13441527125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1169 counting only the distinct ones).

The product of its digits is 33600, while the sum is 35.

The spelling of 13441527125 in words is "thirteen billion, four hundred forty-one million, five hundred twenty-seven thousand, one hundred twenty-five".

Divisors: 1 5 13 25 41 65 125 205 229 325 533 881 1025 1145 1625 2665 2977 4405 5125 5725 9389 11453 13325 14885 22025 28625 36121 46945 57265 66625 74425 110125 122057 180605 201749 234725 286325 372125 469573 610285 903025 1008745 1173625 1431625 2347865 2622737 3051425 4515125 5043725 8271709 11739325 13113685 15257125 25218625 41358545 58696625 65568425 107532217 206792725 327842125 537661085 1033963625 2688305425 13441527125