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5735225375 = 5311231511201
BaseRepresentation
bin1010101011101100…
…01001100000011111
3112210200211122011122
411111312021200133
543221204203000
62345033441155
7262060416455
oct52566114037
915720748148
105735225375
112483426790
1211408701bb
137052824a9
143c59a89d5
15238786085
hex155d8981f

5735225375 has 64 divisors (see below), whose sum is σ = 8208525312. Its totient is φ = 3960000000.

The previous prime is 5735225371. The next prime is 5735225381.

5735225375 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5735225375 - 22 = 5735225371 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 (5735225371) 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 63 ways as a sum of consecutive naturals, for example, 4774775 + ... + 4775975.

It is an arithmetic number, because the mean of its divisors is an integer number (128258208).

Almost surely, 25735225375 is an apocalyptic number.

5735225375 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5735225375 is a deficient number, since it is larger than the sum of its proper divisors (2473299937).

5735225375 is a wasteful number, since it uses less digits than its factorization.

5735225375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1391 counting only the distinct ones).

The product of its digits is 1102500, while the sum is 44.

The square root of 5735225375 is about 75731.2707869081. The cubic root of 5735225375 is about 1789.9881791298.

The spelling of 5735225375 in words is "five billion, seven hundred thirty-five million, two hundred twenty-five thousand, three hundred seventy-five".

Divisors: 1 5 11 23 25 55 115 125 151 253 275 575 755 1201 1265 1375 1661 2875 3473 3775 6005 6325 8305 13211 17365 18875 27623 30025 31625 38203 41525 66055 86825 138115 150125 181351 191015 207625 303853 330275 434125 690575 906755 955075 1519265 1651375 1994861 3452875 4171073 4533775 4775375 7596325 9974305 20855365 22668875 37981625 45881803 49871525 104276825 229409015 249357625 521384125 1147045075 5735225375