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5709669075 = 335211768979
BaseRepresentation
bin1010101000101001…
…01010001011010011
3112201220202020112000
411110110222023103
543143133402300
62342322005043
7261330246345
oct52424521323
915656666460
105709669075
11246aa60980
1211341a6783
136ccba5016
143c2435295
152363d8c00
hex15452a2d3

5709669075 has 48 divisors (see below), whose sum is σ = 11442422400. Its totient is φ = 2768320800.

The previous prime is 5709669037. The next prime is 5709669101.

5709669075 is a `hidden beast` number, since 570 + 9 + 6 + 69 + 0 + 7 + 5 = 666.

5709669075 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5709669075 - 212 = 5709664979 is a prime.

It is a super-2 number, since 2×57096690752 = 65200641892022711250, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377065 + ... + 391914.

It is an arithmetic number, because the mean of its divisors is an integer number (238383800).

Almost surely, 25709669075 is an apocalyptic number.

5709669075 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5709669075 is an abundant number, since it is smaller than the sum of its proper divisors (5732753325).

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

5709669075 is a wasteful number, since it uses less digits than its factorization.

5709669075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769009 (or 768998 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The square root of 5709669075 is about 75562.3522331061. The cubic root of 5709669075 is about 1787.3254769541.

The spelling of 5709669075 in words is "five billion, seven hundred nine million, six hundred sixty-nine thousand, seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 825 1485 2475 7425 768979 2306937 3844895 6920811 8458769 11534685 19224475 20762433 25376307 34604055 42293845 57673425 76128921 103812165 126881535 173020275 211469225 228386763 380644605 519060825 634407675 1141933815 1903223025 5709669075