Search a number
-
+
85900656090 = 235171071574137
BaseRepresentation
bin101000000000000010…
…0111111110111011010
322012201120020110110010
41100000010333313122
52401411031443330
6103243501102350
76130461346404
oct1200004776732
9265646213403
1085900656090
1133480754367
1214793b579b6
13813c7598b2
14422c6c7b74
15237b5313b0
hex140013fdda

85900656090 has 64 divisors (see below), whose sum is σ = 220328947584. Its totient is φ = 21357877248.

The previous prime is 85900656089. The next prime is 85900656103. The reversal of 85900656090 is 9065600958.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 732499 + ... + 841638.

It is an arithmetic number, because the mean of its divisors is an integer number (3442639806).

Almost surely, 285900656090 is an apocalyptic number.

85900656090 is an abundant number, since it is smaller than the sum of its proper divisors (134428291494).

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

85900656090 is a wasteful number, since it uses less digits than its factorization.

85900656090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574271.

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 85900656090 in words is "eighty-five billion, nine hundred million, six hundred fifty-six thousand, ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 107 170 214 255 321 510 535 642 1070 1605 1819 3210 3638 5457 9095 10914 18190 27285 54570 1574137 3148274 4722411 7870685 9444822 15741370 23612055 26760329 47224110 53520658 80280987 133801645 160561974 168432659 267603290 336865318 401404935 505297977 802809870 842163295 1010595954 1684326590 2526489885 2863355203 5052979770 5726710406 8590065609 14316776015 17180131218 28633552030 42950328045 85900656090