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5765445675 = 335211799829
BaseRepresentation
bin1010101111010010…
…11011100000101011
3112212210200222122000
411113221123200223
543301423230200
62352033302043
7262605323343
oct52751334053
915783628560
105765445675
112499497740
12114aa04923
1370b603822
143c99d3d23
1523b255300
hex157a5b82b

5765445675 has 96 divisors (see below), whose sum is σ = 11701632000. Its totient is φ = 2759702400.

The previous prime is 5765445667. The next prime is 5765445691.

It is a happy number.

5765445675 is a `hidden beast` number, since 5 + 76 + 5 + 4 + 4 + 567 + 5 = 666.

5765445675 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5765445675 - 23 = 5765445667 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 581661 + ... + 591489.

It is an arithmetic number, because the mean of its divisors is an integer number (121892000).

Almost surely, 25765445675 is an apocalyptic number.

5765445675 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5765445675 is an abundant number, since it is smaller than the sum of its proper divisors (5936186325).

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

5765445675 is a wasteful number, since it uses less digits than its factorization.

5765445675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9938 (or 9927 counting only the distinct ones).

The product of its digits is 17640000, while the sum is 54.

The square root of 5765445675 is about 75930.5319025226. The cubic root of 5765445675 is about 1793.1266344328.

The spelling of 5765445675 in words is "five billion, seven hundred sixty-five million, four hundred forty-five thousand, six hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 79 99 135 165 225 237 275 297 395 495 675 711 825 869 1185 1485 1975 2133 2475 2607 3555 4345 5925 7425 7821 9829 10665 13035 17775 21725 23463 29487 39105 49145 53325 65175 88461 108119 117315 147435 195525 245725 265383 324357 442305 540595 586575 737175 776491 973071 1326915 1621785 2211525 2329473 2702975 2919213 3882455 4865355 6634575 6988419 8108925 8541401 11647365 14596065 19412275 20965257 24326775 25624203 34942095 42707005 58236825 72980325 76872609 104826285 128121015 174710475 213535025 230617827 384363045 524131425 640605075 1153089135 1921815225 5765445675