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5736000101 = 1335349261
BaseRepresentation
bin1010101011110010…
…00110101001100101
3112210202021222220012
411111321012221211
543221404000401
62345102220005
7262100124236
oct52571065145
915722258805
105736000101
112483905857
121140b84605
13705494000
143c5b2b08d
1523888a8bb
hex155e46a65

5736000101 has 16 divisors (see below), whose sum is σ = 6331152240. Its totient is φ = 5194762560.

The previous prime is 5736000097. The next prime is 5736000113. The reversal of 5736000101 is 1010006375.

It can be written as a sum of positive squares in 8 ways, for example, as 3899877601 + 1836122500 = 62449^2 + 42850^2 .

It is not a de Polignac number, because 5736000101 - 22 = 5736000097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5736000131) 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 15 ways as a sum of consecutive naturals, for example, 91811 + ... + 141071.

It is an arithmetic number, because the mean of its divisors is an integer number (395697015).

Almost surely, 25736000101 is an apocalyptic number.

It is an amenable number.

5736000101 is a deficient number, since it is larger than the sum of its proper divisors (595152139).

5736000101 is an equidigital number, since it uses as much as digits as its factorization.

5736000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49353 (or 49327 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 5736000101 is about 75736.3855818325. The cubic root of 5736000101 is about 1790.0687739251.

Adding to 5736000101 its reverse (1010006375), we get a palindrome (6746006476).

The spelling of 5736000101 in words is "five billion, seven hundred thirty-six million, one hundred one", and thus it is an aban number.

Divisors: 1 13 53 169 689 2197 8957 49261 116441 640393 2610833 8325109 33940829 108226417 441230777 5736000101