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13341636036 = 2238232312
BaseRepresentation
bin11000110110011100…
…10011010111000100
31021102210122100000000
430123032103113010
5204310424323121
610043513321300
7651422015031
oct143316232704
937383570000
1013341636036
115727007693
122704106230
1313480b9bc1
14907c9a388
15531437526
hex31b3935c4

13341636036 has 243 divisors, whose sum is σ = 37827849423. Its totient is φ = 4116633840.

The previous prime is 13341636031. The next prime is 13341636043. The reversal of 13341636036 is 63063614331.

The square root of 13341636036 is 115506.

It is a perfect power (a square), and thus also a powerful number.

13341636036 is a `hidden beast` number, since 1 + 3 + 3 + 41 + 6 + 3 + 603 + 6 = 666.

13341636036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (243).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13341636031) 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 80 ways as a sum of consecutive naturals, for example, 430375341 + ... + 430375371.

Almost surely, 213341636036 is an apocalyptic number.

13341636036 is the 115506-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13341636036

13341636036 is an abundant number, since it is smaller than the sum of its proper divisors (24486213387).

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

13341636036 is an frugal number, since it uses more digits than its factorization.

13341636036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

Multiplying 13341636036 by its sum of digits (36), we get a square (480298897296 = 6930362).

13341636036 divided by its sum of digits (36) gives a square (370601001 = 192512).

The spelling of 13341636036 in words is "thirteen billion, three hundred forty-one million, six hundred thirty-six thousand, thirty-six".