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85235006835 = 355116479857
BaseRepresentation
bin100111101100001100…
…1101111110101110011
322011000011200222100000
41033120121233311303
52344030130204320
6103053442001043
76105126414126
oct1173031576563
9264004628300
1085235006835
1133169a37210
1214629046183
1380648868b4
1441a81323bd
15233cd96c90
hex13d866fd73

85235006835 has 96 divisors (see below), whose sum is σ = 167416284672. Its totient is φ = 41258004480.

The previous prime is 85235006797. The next prime is 85235006869. The reversal of 85235006835 is 53860053258.

85235006835 is a `hidden beast` number, since 8 + 52 + 3 + 500 + 68 + 35 = 666.

It is not a de Polignac number, because 85235006835 - 212 = 85235002739 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8642227 + ... + 8652083.

It is an arithmetic number, because the mean of its divisors is an integer number (1743919632).

Almost surely, 285235006835 is an apocalyptic number.

85235006835 is a deficient number, since it is larger than the sum of its proper divisors (82181277837).

85235006835 is a wasteful number, since it uses less digits than its factorization.

85235006835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10535 (or 10523 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 85235006835 in words is "eighty-five billion, two hundred thirty-five million, six thousand, eight hundred thirty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 243 297 405 495 647 891 1215 1485 1941 2673 3235 4455 5823 7117 9705 9857 13365 17469 21351 29115 29571 35585 49285 52407 64053 87345 88713 106755 108427 147855 157221 192159 262035 266139 320265 325281 443565 542135 576477 786105 798417 960795 975843 1330695 1626405 1729431 2395251 2882385 2927529 3992085 4879215 6377479 8647155 8782587 11976255 14637645 19132437 26347761 31887395 43912935 57397311 70152269 95662185 131738805 172191933 210456807 286986555 350761345 516575799 631370421 860959665 1052284035 1549727397 1894111263 2582878995 3156852105 5682333789 7748636985 9470556315 17047001367 28411668945 85235006835