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13522836168 = 2333419149417
BaseRepresentation
bin11001001100000011…
…00001101011001000
31021220102121020212000
430212001201223020
5210143321224133
610113505151000
7656052132222
oct144601415310
937812536760
1013522836168
11580a319a66
12275492b460
1313767c110a
14923d87412
155422cb413
hex326061ac8

13522836168 has 64 divisors (see below), whose sum is σ = 37653336000. Its totient is φ = 4496823936.

The previous prime is 13522836137. The next prime is 13522836169. The reversal of 13522836168 is 86163822531.

13522836168 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 28 + 3 + 616 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13522836169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15796 + ... + 165212.

It is an arithmetic number, because the mean of its divisors is an integer number (588333375).

Almost surely, 213522836168 is an apocalyptic number.

13522836168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13522836168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18826668000).

13522836168 is an abundant number, since it is smaller than the sum of its proper divisors (24130499832).

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

13522836168 is a wasteful number, since it uses less digits than its factorization.

13522836168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149851 (or 149841 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

It can be divided in two parts, 135228 and 36168, that added together give a square (171396 = 4142).

The spelling of 13522836168 in words is "thirteen billion, five hundred twenty-two million, eight hundred thirty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 419 838 1257 1676 2514 3352 3771 5028 7542 10056 11313 15084 22626 30168 45252 90504 149417 298834 448251 597668 896502 1195336 1344753 1793004 2689506 3586008 4034259 5379012 8068518 10758024 16137036 32274072 62605723 125211446 187817169 250422892 375634338 500845784 563451507 751268676 1126903014 1502537352 1690354521 2253806028 3380709042 4507612056 6761418084 13522836168