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42285058220 = 225191071377591
BaseRepresentation
bin100111011000011000…
…101100100010101100
311001010220210112002102
4213120120230202230
51143044433330340
631231523314232
73024602031056
oct473030544254
9131126715072
1042285058220
1116a298a4109
12824121b978
133cab5c5712
142091c6a8d6
151177406215
hex9d862c8ac

42285058220 has 96 divisors (see below), whose sum is σ = 95046981120. Its totient is φ = 15756111360.

The previous prime is 42285058219. The next prime is 42285058237. The reversal of 42285058220 is 2285058224.

It is a super-2 number, since 2×422850582202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5566625 + ... + 5574215.

It is an arithmetic number, because the mean of its divisors is an integer number (990072720).

Almost surely, 242285058220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42285058220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47523490560).

42285058220 is an abundant number, since it is smaller than the sum of its proper divisors (52761922900).

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

42285058220 is a wasteful number, since it uses less digits than its factorization.

42285058220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7863 (or 7861 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 38.

The spelling of 42285058220 in words is "forty-two billion, two hundred eighty-five million, fifty-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 107 137 190 214 274 380 428 535 548 685 1070 1370 2033 2140 2603 2740 4066 5206 7591 8132 10165 10412 13015 14659 15182 20330 26030 29318 30364 37955 40660 52060 58636 73295 75910 144229 146590 151820 278521 288458 293180 557042 576916 721145 812237 1039967 1114084 1392605 1442290 1624474 2079934 2785210 2884580 3248948 4061185 4159868 5199835 5570420 8122370 10399670 15432503 16244740 19759373 20799340 30865006 39518746 61730012 77162515 79037492 98796865 111276469 154325030 197593730 222552938 308650060 395187460 445105876 556382345 1112764690 2114252911 2225529380 4228505822 8457011644 10571264555 21142529110 42285058220