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11464318152 = 233671716519
BaseRepresentation
bin10101010110101001…
…11001110011001000
31002120222010201000000
422223110321303020
5141434331140102
65133332043000
7554045045040
oct125324716310
932528121000
1011464318152
114953343a01
12227b463460
131109198511
147aa818720
1547170a01c
hex2ab539cc8

11464318152 has 224 divisors, whose sum is σ = 39001737600. Its totient is φ = 3082655232.

The previous prime is 11464318141. The next prime is 11464318157. The reversal of 11464318152 is 25181346411.

11464318152 is a `hidden beast` number, since 1 + 1 + 4 + 643 + 1 + 8 + 1 + 5 + 2 = 666.

11464318152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (11464318157) 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 55 ways as a sum of consecutive naturals, for example, 685749 + ... + 702267.

It is an arithmetic number, because the mean of its divisors is an integer number (174114900).

Almost surely, 211464318152 is an apocalyptic number.

11464318152 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 11464318152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19500868800).

11464318152 is an abundant number, since it is smaller than the sum of its proper divisors (27537419448).

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

11464318152 is a wasteful number, since it uses less digits than its factorization.

11464318152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16567 (or 16548 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The spelling of 11464318152 in words is "eleven billion, four hundred sixty-four million, three hundred eighteen thousand, one hundred fifty-two".