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442282685812011 = 3211191871125671661
BaseRepresentation
bin110010010010000001111011…
…0011000001100110100101011
32010222222210220211021010100200
41210210003312120030310223
5430432324420031441021
64204353505542203243
7162105604155164442
oct14444036630146453
92128883824233320
10442282685812011
11118a1a040945080
1241731420723523
1315ca310308a415
147b3084c00bd59
15361ebc344c126
hex19240f660cd2b

442282685812011 has 48 divisors (see below), whose sum is σ = 734002935943680. Its totient is φ = 253806484536000.

The previous prime is 442282685812003. The next prime is 442282685812057. The reversal of 442282685812011 is 110218586282244.

442282685812011 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 8 + 26 + 8 + 581 + 20 + 11 = 666.

It is not a de Polignac number, because 442282685812011 - 23 = 442282685812003 is a prime.

It is a super-2 number, since 2×4422826858120112 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442282685812411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59316480 + ... + 66355181.

It is an arithmetic number, because the mean of its divisors is an integer number (15291727832160).

Almost surely, 2442282685812011 is an apocalyptic number.

442282685812011 is a deficient number, since it is larger than the sum of its proper divisors (291720250131669).

442282685812011 is a wasteful number, since it uses less digits than its factorization.

442282685812011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125673568 (or 125673565 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 442282685812011 in words is "four hundred forty-two trillion, two hundred eighty-two billion, six hundred eighty-five million, eight hundred twelve thousand, eleven".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1871 1881 5613 16839 20581 35549 61743 106647 185229 319941 391039 1173117 3519351 125671661 377014983 1131044949 1382388271 2387761559 4147164813 7163284677 12441494439 21489854031 26265377149 78796131447 235131677731 236388394341 705395033193 2116185099579 2586448455041 4467501876889 7759345365123 13402505630667 23278036095369 40207516892001 49142520645779 147427561937337 442282685812011