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10521348453 = 327211237732
BaseRepresentation
bin10011100110001111…
…10000100101100101
31000011020202212202100
421303013300211211
5133021431122303
64500005002313
7521504662200
oct116307604545
930136685670
1010521348453
11450a032900
1220576b3399
13cb8a08695
1471b4b4937
15418a418a3
hex2731f0965

10521348453 has 162 divisors, whose sum is σ = 20234310642. Its totient is φ = 5245067520.

The previous prime is 10521348421. The next prime is 10521348463. The reversal of 10521348453 is 35484312501.

10521348453 is a `hidden beast` number, since 1 + 0 + 521 + 3 + 4 + 84 + 53 = 666.

10521348453 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 3 ways, for example, as 4243480164 + 6277868289 = 65142^2 + 79233^2 .

It is not a de Polignac number, because 10521348453 - 25 = 10521348421 is a prime.

It is a super-2 number, since 2×105213484532 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10521348463) 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 161 ways as a sum of consecutive naturals, for example, 144128025 + ... + 144128097.

Almost surely, 210521348453 is an apocalyptic number.

It is an amenable number.

10521348453 is a deficient number, since it is larger than the sum of its proper divisors (9712962189).

10521348453 is a wasteful number, since it uses less digits than its factorization.

10521348453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10521348453 in words is "ten billion, five hundred twenty-one million, three hundred forty-eight thousand, four hundred fifty-three".