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285201904122 = 2342968388883
BaseRepresentation
bin1000010011001110101…
…10111011000111111010
31000021011012200212110000
410021213112323013322
514133043141412442
6335004150333430
726414366120562
oct4114726730772
91007135625400
10285201904122
11aaa540488a3
124733565a276
1320b82085765
14db37a77da2
15764347cd4c
hex42675bb1fa

285201904122 has 80 divisors (see below), whose sum is σ = 662075583840. Its totient is φ = 91653696288.

The previous prime is 285201904109. The next prime is 285201904157. The reversal of 285201904122 is 221409102582.

285201904122 is a `hidden beast` number, since 2 + 8 + 52 + 0 + 190 + 412 + 2 = 666.

It is a super-2 number, since 2×2852019041222 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3164293 + ... + 3253175.

It is an arithmetic number, because the mean of its divisors is an integer number (8275944798).

Almost surely, 2285201904122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285201904122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331037791920).

285201904122 is an abundant number, since it is smaller than the sum of its proper divisors (376873679718).

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

285201904122 is a wasteful number, since it uses less digits than its factorization.

285201904122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89609 (or 89600 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 285201904122 in words is "two hundred eighty-five billion, two hundred one million, nine hundred four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 683 783 1366 1566 2049 2349 4098 4698 6147 12294 18441 19807 36882 39614 55323 59421 88883 110646 118842 177766 178263 266649 356526 533298 534789 799947 1069578 1599894 1604367 2399841 2577607 3208734 4799682 5155214 7199523 7732821 14399046 15465642 23198463 46396926 60707089 69595389 121414178 139190778 182121267 208786167 364242534 417572334 546363801 1092727602 1639091403 1760505581 3278182806 3521011162 4917274209 5281516743 9834548418 10563033486 15844550229 31689100458 47533650687 95067301374 142600952061 285201904122