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11421814005 = 325725179961
BaseRepresentation
bin10101010001100101…
…10000110011110101
31002111000011021021100
422220302300303311
5141342441022010
65125213040313
7553020550200
oct125062606365
932430137240
1011421814005
114931352a08
122269186099
131100435c34
147a4d12937
1546cb112c0
hex2a8cb0cf5

11421814005 has 36 divisors (see below), whose sum is σ = 23030111052. Its totient is φ = 5221399680.

The previous prime is 11421813971. The next prime is 11421814009. The reversal of 11421814005 is 50041812411.

It is a happy number.

11421814005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7969311441 + 3452502564 = 89271^2 + 58758^2 .

It is not a de Polignac number, because 11421814005 - 27 = 11421813877 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11421814005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11421814009) 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 35 ways as a sum of consecutive naturals, for example, 2587776 + ... + 2592185.

It is an arithmetic number, because the mean of its divisors is an integer number (639725307).

Almost surely, 211421814005 is an apocalyptic number.

11421814005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11421814005 is an abundant number, since it is smaller than the sum of its proper divisors (11608297047).

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

11421814005 is a wasteful number, since it uses less digits than its factorization.

11421814005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5179986 (or 5179976 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 11421814005 in words is "eleven billion, four hundred twenty-one million, eight hundred fourteen thousand, five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 5179961 15539883 25899805 36259727 46619649 77699415 108779181 181298635 233098245 253818089 326337543 543895905 761454267 1269090445 1631687715 2284362801 3807271335 11421814005