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4130516775 = 3527111742073
BaseRepresentation
bin1111011000110010…
…1010111100100111
3101122212021222210210
43312030222330213
531424403014100
61521511150503
7204233545650
oct36614527447
911585258723
104130516775
11182a629430
12973375433
1350a98b488
142b280a527
15192956c50
hexf632af27

4130516775 has 96 divisors (see below), whose sum is σ = 9015280128. Its totient is φ = 1615564800.

The previous prime is 4130516773. The next prime is 4130516779. The reversal of 4130516775 is 5776150314.

It is not a de Polignac number, because 4130516775 - 21 = 4130516773 is a prime.

It is a super-2 number, since 2×41305167752 = 34122337657112801250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130516773) 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 95 ways as a sum of consecutive naturals, for example, 77139 + ... + 119211.

It is an arithmetic number, because the mean of its divisors is an integer number (93909168).

Almost surely, 24130516775 is an apocalyptic number.

4130516775 is an abundant number, since it is smaller than the sum of its proper divisors (4884763353).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4130516775 is a wasteful number, since it uses less digits than its factorization.

4130516775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42121 (or 42116 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 4130516775 is about 64269.0965783712. The cubic root of 4130516775 is about 1604.4818059078.

The spelling of 4130516775 in words is "four billion, one hundred thirty million, five hundred sixteen thousand, seven hundred seventy-five".

Divisors: 1 3 5 7 11 15 17 21 25 33 35 51 55 75 77 85 105 119 165 175 187 231 255 275 357 385 425 525 561 595 825 935 1155 1275 1309 1785 1925 2805 2975 3927 4675 5775 6545 8925 14025 19635 32725 42073 98175 126219 210365 294511 462803 631095 715241 883533 1051825 1388409 1472555 2145723 2314015 3155475 3239621 3576205 4417665 5006687 6942045 7362775 7867651 9718863 10728615 11570075 15020061 16198105 17881025 22088325 23602953 25033435 34710225 39338255 48594315 53643075 55073557 75100305 80990525 118014765 125167175 165220671 196691275 242971575 275367785 375501525 590073825 826103355 1376838925 4130516775