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442869379530 = 235375917339089
BaseRepresentation
bin1100111000111010001…
…00100111000111001010
31120100010022212111020020
412130131010213013022
524223444030121110
6535241255441310
743665500420544
oct6343504470712
91510108774206
10442869379530
11160902245786
12719b8086236
13329bb0000c6
1417613894694
15b7c0271d70
hex671d1271ca

442869379530 has 128 divisors (see below), whose sum is σ = 1116560505600. Its totient is φ = 112303263744.

The previous prime is 442869379501. The next prime is 442869379549. The reversal of 442869379530 is 35973968244.

It is a super-2 number, since 2×4428693795302 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 11310226 + ... + 11349314.

It is an arithmetic number, because the mean of its divisors is an integer number (8723128950).

Almost surely, 2442869379530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442869379530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558280252800).

442869379530 is an abundant number, since it is smaller than the sum of its proper divisors (673691126070).

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

442869379530 is a wasteful number, since it uses less digits than its factorization.

442869379530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39368.

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 442869379530 in words is "four hundred forty-two billion, eight hundred sixty-nine million, three hundred seventy-nine thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 59 74 111 118 173 177 185 222 295 346 354 370 519 555 590 865 885 1038 1110 1730 1770 2183 2595 4366 5190 6401 6549 10207 10915 12802 13098 19203 20414 21830 30621 32005 32745 38406 39089 51035 61242 64010 65490 78178 96015 102070 117267 153105 192030 195445 234534 306210 377659 390890 586335 755318 1132977 1172670 1446293 1888295 2265954 2306251 2892586 3776590 4338879 4612502 5664885 6762397 6918753 7231465 8677758 11329770 11531255 13524794 13837506 14462930 20287191 21694395 23062510 33811985 34593765 40574382 43388790 67623970 69187530 85331287 101435955 170662574 202871910 250208689 255993861 398981423 426656435 500417378 511987722 750626067 797962846 853312870 1196944269 1251043445 1279969305 1501252134 1994907115 2393888538 2502086890 2559938610 3753130335 3989814230 5984721345 7506260670 11969442690 14762312651 29524625302 44286937953 73811563255 88573875906 147623126510 221434689765 442869379530