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5745665475 = 3352112573011
BaseRepresentation
bin1010101100111011…
…11110010111000011
3112211102111001022000
411112131332113003
543231342243400
62350045315043
7262245231204
oct52635762703
915742431260
105745665475
112489307570
121144265a83
13707499474
143c71255ab
15239649600
hex15677e5c3

5745665475 has 96 divisors (see below), whose sum is σ = 11563188480. Its totient is φ = 2774016000.

The previous prime is 5745665449. The next prime is 5745665479.

It is a happy number.

5745665475 is a `hidden beast` number, since 5 + 7 + 4 + 566 + 5 + 4 + 75 = 666.

5745665475 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5745665475 - 26 = 5745665411 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5745665479) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1906720 + ... + 1909730.

It is an arithmetic number, because the mean of its divisors is an integer number (120449880).

Almost surely, 25745665475 is an apocalyptic number.

5745665475 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5745665475 is an abundant number, since it is smaller than the sum of its proper divisors (5817523005).

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

5745665475 is a wasteful number, since it uses less digits than its factorization.

5745665475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298 (or 3287 counting only the distinct ones).

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

The square root of 5745665475 is about 75800.1680407108. The cubic root of 5745665475 is about 1791.0736539213.

The spelling of 5745665475 in words is "five billion, seven hundred forty-five million, six hundred sixty-five thousand, four hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 257 275 297 495 675 771 825 1285 1485 2313 2475 2827 3011 3855 6425 6939 7425 8481 9033 11565 14135 15055 19275 25443 27099 33121 34695 42405 45165 57825 70675 75275 76329 81297 99363 127215 135495 165605 173475 212025 225825 298089 381645 406485 496815 636075 677475 773827 828025 894267 1490445 1908225 2032425 2321481 2484075 3869135 4471335 6964443 7452225 8512097 11607405 19345675 20893329 22356675 25536291 34822215 42560485 58037025 76608873 104466645 127681455 174111075 212802425 229826619 383044365 522333225 638407275 1149133095 1915221825 5745665475