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11244421152 = 2532293133253
BaseRepresentation
bin10100111100011100…
…00100000000100000
31002000122100210000200
422132032010000200
5141012032434102
65055434545200
7545435000646
oct123616040040
932018323020
1011244421152
114850201048
122219898200
1310a2765953
14789537196
1545c27051c
hex29e384020

11244421152 has 72 divisors (see below), whose sum is σ = 32085697644. Its totient is φ = 3735320064.

The previous prime is 11244421081. The next prime is 11244421183. The reversal of 11244421152 is 25112444211.

11244421152 is a `hidden beast` number, since 1 + 1 + 2 + 444 + 211 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8280272016 + 2964149136 = 90996^2 + 54444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17758 + ... + 151010.

Almost surely, 211244421152 is an apocalyptic number.

11244421152 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 11244421152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16042848822).

11244421152 is an abundant number, since it is smaller than the sum of its proper divisors (20841276492).

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

11244421152 is a wasteful number, since it uses less digits than its factorization.

11244421152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133562 (or 133551 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

Adding to 11244421152 its reverse (25112444211), we get a palindrome (36356865363).

The spelling of 11244421152 in words is "eleven billion, two hundred forty-four million, four hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 293 586 879 1172 1758 2344 2637 3516 4688 5274 7032 9376 10548 14064 21096 28128 42192 84384 133253 266506 399759 533012 799518 1066024 1199277 1599036 2132048 2398554 3198072 4264096 4797108 6396144 9594216 12792288 19188432 38376864 39043129 78086258 117129387 156172516 234258774 312345032 351388161 468517548 624690064 702776322 937035096 1249380128 1405552644 1874070192 2811105288 3748140384 5622210576 11244421152