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824825530253 = 83271311117911
BaseRepresentation
bin11000000000010110110…
…11101100011110001101
32220212000111202100022002
430000023123230132031
5102003220313432003
61430530345402045
7113406642220154
oct14001333543615
92825014670262
10824825530253
1129889656604a
12113a34499325
135ca1c2c724a
142bcc949459b
15166c79eea88
hexc00b6ec78d

824825530253 has 16 divisors (see below), whose sum is σ = 840544653312. Its totient is φ = 809263494000.

The previous prime is 824825530223. The next prime is 824825530259. The reversal of 824825530253 is 352035528428.

It is a cyclic number.

It is not a de Polignac number, because 824825530253 - 216 = 824825464717 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 824825530198 and 824825530207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824825530259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6936368 + ... + 7054278.

It is an arithmetic number, because the mean of its divisors is an integer number (52534040832).

Almost surely, 2824825530253 is an apocalyptic number.

824825530253 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

824825530253 is a deficient number, since it is larger than the sum of its proper divisors (15719123059).

824825530253 is a wasteful number, since it uses less digits than its factorization.

824825530253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118576.

The product of its (nonzero) digits is 2304000, while the sum is 47.

The spelling of 824825530253 in words is "eight hundred twenty-four billion, eight hundred twenty-five million, five hundred thirty thousand, two hundred fifty-three".

Divisors: 1 83 271 311 22493 25813 84281 117911 6995323 9786613 31953881 36670321 2652172123 3043636643 9937656991 824825530253