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285435445950 = 232521737311823
BaseRepresentation
bin1000010011101010100…
…01110100001010111110
31000021202111011000121100
410021311101310022332
514134032433232300
6335043252113530
726423233154544
oct4116521641276
91007674130540
10285435445950
11100063960276
124739b9058a6
1320bbb584ba5
14db5aaabd94
157658c10700
hex42754742be

285435445950 has 72 divisors (see below), whose sum is σ = 811979913888. Its totient is φ = 71638698240.

The previous prime is 285435445913. The next prime is 285435445951. The reversal of 285435445950 is 59544534582.

285435445950 is a `hidden beast` number, since 2 + 8 + 5 + 4 + 3 + 5 + 44 + 595 + 0 = 666.

It is a super-3 number, since 3×2854354459503 (a number of 35 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285435445951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18648262 + ... + 18663561.

It is an arithmetic number, because the mean of its divisors is an integer number (11277498804).

Almost surely, 2285435445950 is an apocalyptic number.

285435445950 is an abundant number, since it is smaller than the sum of its proper divisors (526544467938).

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

285435445950 is a wasteful number, since it uses less digits than its factorization.

285435445950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37311858 (or 37311850 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 285435445950 in words is "two hundred eighty-five billion, four hundred thirty-five million, four hundred forty-five thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 306 425 450 510 765 850 1275 1530 2550 3825 7650 37311823 74623646 111935469 186559115 223870938 335806407 373118230 559677345 634300991 671612814 932795575 1119354690 1268601982 1679032035 1865591150 1902902973 2798386725 3171504955 3358064070 3805805946 5596773450 5708708919 6343009910 8395160175 9514514865 11417417838 15857524775 16790320350 19029029730 28543544595 31715049550 47572574325 57087089190 95145148650 142717722975 285435445950