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13266244152 = 23347231011259
BaseRepresentation
bin11000101101011101…
…01101001000111000
31021020112210000210000
430112232231020320
5204132124303102
610032221353000
7646515133440
oct142656551070
937215700700
1013266244152
1156984a3647
1226a2a08760
1313355b1115
148dbc73120
155299e401c
hex316bad238

13266244152 has 320 divisors, whose sum is σ = 44786649600. Its totient is φ = 3586809600.

The previous prime is 13266244127. The next prime is 13266244153. The reversal of 13266244152 is 25144266231.

13266244152 is a `hidden beast` number, since 1 + 3 + 26 + 624 + 4 + 1 + 5 + 2 = 666.

13266244152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13266244153) 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 79 ways as a sum of consecutive naturals, for example, 10536499 + ... + 10537757.

It is an arithmetic number, because the mean of its divisors is an integer number (139958280).

Almost surely, 213266244152 is an apocalyptic number.

13266244152 is a gapful number since it is divisible by the number (12) 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 13266244152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22393324800).

13266244152 is an abundant number, since it is smaller than the sum of its proper divisors (31520405448).

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

13266244152 is a wasteful number, since it uses less digits than its factorization.

13266244152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1395 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 13266244152 in words is "thirteen billion, two hundred sixty-six million, two hundred forty-four thousand, one hundred fifty-two".