Search a number
-
+
13526517070 = 2511277744281
BaseRepresentation
bin11001001100011111…
…00100010101001110
31021220200112021002201
430212033210111032
5210200242021240
610114120112114
7656125332553
oct144617442516
937820467081
1013526517070
115811403530
12275600563a
1313774ac671
14924664a2a
155427a6d9a
hex3263e454e

13526517070 has 32 divisors (see below), whose sum is σ = 26571325536. Its totient is φ = 4916851200.

The previous prime is 13526517061. The next prime is 13526517073. The reversal of 13526517070 is 7071562531.

13526517070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×135265170703 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13526517073) 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 15 ways as a sum of consecutive naturals, for example, 283330 + ... + 327610.

It is an arithmetic number, because the mean of its divisors is an integer number (830353923).

Almost surely, 213526517070 is an apocalyptic number.

13526517070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13526517070 is a deficient number, since it is larger than the sum of its proper divisors (13044808466).

13526517070 is a wasteful number, since it uses less digits than its factorization.

13526517070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47076.

The product of its (nonzero) digits is 44100, while the sum is 37.

The spelling of 13526517070 in words is "thirteen billion, five hundred twenty-six million, five hundred seventeen thousand, seventy".

Divisors: 1 2 5 10 11 22 55 110 2777 5554 13885 27770 30547 44281 61094 88562 152735 221405 305470 442810 487091 974182 2435455 4870910 122968337 245936674 614841685 1229683370 1352651707 2705303414 6763258535 13526517070