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11214040505652 = 2232311501125157
BaseRepresentation
bin1010001100101111100011…
…1001101001110100110100
31110201001101202121221200200
42203023320321221310310
52432212323332140102
635503354210240500
72235121243361205
oct243137071516464
943631352557620
1011214040505652
113633936574896
121311433586130
13634630564b2a
142aaa962755ac
15146a825b351c
hexa32f8e69d34

11214040505652 has 18 divisors (see below), whose sum is σ = 28346602389378. Its totient is φ = 3738013501872.

The previous prime is 11214040505623. The next prime is 11214040505669. The reversal of 11214040505652 is 25650504041211.

11214040505652 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 4 + 0 + 40 + 50 + 565 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9746347023396 + 1467693482256 = 3121914^2 + 1211484^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 311501125157 = 11214040505652 / (1 + 1 + 2 + 1 + 4 + 0 + 4 + 0 + 5 + 0 + 5 + 6 + 5 + 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 155750562543 + ... + 155750562614.

Almost surely, 211214040505652 is an apocalyptic number.

11214040505652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11214040505652 is an abundant number, since it is smaller than the sum of its proper divisors (17132561883726).

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

11214040505652 is a wasteful number, since it uses less digits than its factorization.

11214040505652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311501125167 (or 311501125162 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 11214040505652 its reverse (25650504041211), we get a palindrome (36864544546863).

The spelling of 11214040505652 in words is "eleven trillion, two hundred fourteen billion, forty million, five hundred five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 311501125157 623002250314 934503375471 1246004500628 1869006750942 2803510126413 3738013501884 5607020252826 11214040505652