Search a number
-
+
217870053504 = 2734113838291
BaseRepresentation
bin1100101011101000010…
…0010011000010000000
3202211100201221110102220
43022322010103002000
512032144213203004
6244031011211040
721512010620235
oct3127204230200
9684321843386
10217870053504
1184441a68964
12362842a6a80
131771165242c
14a78b56378c
155a0220edd9
hex32ba113080

217870053504 has 64 divisors (see below), whose sum is σ = 592832429280. Its totient is φ = 70852044800.

The previous prime is 217870053497. The next prime is 217870053509. The reversal of 217870053504 is 405350078712.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (217870053509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6903402 + ... + 6934889.

Almost surely, 2217870053504 is an apocalyptic number.

217870053504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

217870053504 is an abundant number, since it is smaller than the sum of its proper divisors (374962375776).

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

217870053504 is a wasteful number, since it uses less digits than its factorization.

217870053504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13838349 (or 13838337 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 217870053504 in words is "two hundred seventeen billion, eight hundred seventy million, fifty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 5248 7872 15744 13838291 27676582 41514873 55353164 83029746 110706328 166059492 221412656 332118984 442825312 567369931 664237968 885650624 1134739862 1328475936 1702109793 1771301248 2269479724 2656951872 3404219586 4538959448 5313903744 6808439172 9077918896 13616878344 18155837792 27233756688 36311675584 54467513376 72623351168 108935026752 217870053504