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5287643101 = 132377971061
BaseRepresentation
bin1001110110010101…
…10000011111011101
3111122111122002201101
410323022300133131
541312114034401
62232404313101
7245014140046
oct47312603735
914574562641
105287643101
112273811584
1210369a2791
13663621100
143823798cd
1520e324101
hex13b2b07dd

5287643101 has 24 divisors (see below), whose sum is σ = 5893348104. Its totient is φ = 4738556160.

The previous prime is 5287643099. The next prime is 5287643113. The reversal of 5287643101 is 1013467825.

It can be written as a sum of positive squares in 12 ways, for example, as 1138995001 + 4148648100 = 33749^2 + 64410^2 .

It is not a de Polignac number, because 5287643101 - 21 = 5287643099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5287643131) 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 23 ways as a sum of consecutive naturals, for example, 4983111 + ... + 4984171.

It is an arithmetic number, because the mean of its divisors is an integer number (245556171).

Almost surely, 25287643101 is an apocalyptic number.

It is an amenable number.

5287643101 is a deficient number, since it is larger than the sum of its proper divisors (605705003).

5287643101 is a wasteful number, since it uses less digits than its factorization.

5287643101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 5287643101 is about 72716.1818373325. The cubic root of 5287643101 is about 1742.1573519405.

The spelling of 5287643101 in words is "five billion, two hundred eighty-seven million, six hundred forty-three thousand, one hundred one".

Divisors: 1 13 37 169 481 797 1061 6253 10361 13793 29489 39257 134693 179309 383357 510341 845617 4983641 6634433 10993021 31287829 142909273 406741777 5287643101