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2051442513 = 321722927197
BaseRepresentation
bin111101001000110…
…1000011101010001
312021222011002002100
41322101220131101
513200132130023
6535321311013
7101556654651
oct17221503521
95258132070
102051442513
11962a9313a
12493035469
13269019213
1415664a361
15c0174c43
hex7a468751

2051442513 has 36 divisors (see below), whose sum is σ = 3256416540. Its totient is φ = 1242748416.

The previous prime is 2051442509. The next prime is 2051442527. The reversal of 2051442513 is 3152441502.

2051442513 is a `hidden beast` number, since 2 + 0 + 5 + 144 + 2 + 513 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 221057424 + 1830385089 = 14868^2 + 42783^2 .

It is not a de Polignac number, because 2051442513 - 22 = 2051442509 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2051442593) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61831 + ... + 89027.

It is an arithmetic number, because the mean of its divisors is an integer number (90456015).

Almost surely, 22051442513 is an apocalyptic number.

It is an amenable number.

2051442513 is a deficient number, since it is larger than the sum of its proper divisors (1204974027).

2051442513 is a wasteful number, since it uses less digits than its factorization.

2051442513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27266 (or 27246 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2051442513 is about 45292.8527805436. The cubic root of 2051442513 is about 1270.6319860725.

The spelling of 2051442513 in words is "two billion, fifty-one million, four hundred forty-two thousand, five hundred thirteen".

Divisors: 1 3 9 17 29 51 87 153 261 289 493 867 1479 2601 4437 8381 25143 27197 75429 81591 244773 462349 788713 1387047 2366139 4161141 7098417 7859933 13408121 23579799 40224363 70739397 120673089 227938057 683814171 2051442513