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42286604820 = 223519223916567
BaseRepresentation
bin100111011000011110…
…100110001000010100
311001011000201002121220
4213120132212020110
51143100332323240
631232020410340
73024621132105
oct473036461024
9131130632556
1042286604820
1116a2a760099
1282418469b0
133caba17675
1420921503ac
15117760e5d0
hex9d87a6214

42286604820 has 96 divisors (see below), whose sum is σ = 124697395200. Its totient is φ = 10677515904.

The previous prime is 42286604809. The next prime is 42286604863. The reversal of 42286604820 is 2840668224.

It is a congruent number.

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, 2544177 + ... + 2560743.

It is an arithmetic number, because the mean of its divisors is an integer number (1298931200).

Almost surely, 242286604820 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 42286604820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62348697600).

42286604820 is an abundant number, since it is smaller than the sum of its proper divisors (82410790380).

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

42286604820 is a wasteful number, since it uses less digits than its factorization.

42286604820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18837 (or 18835 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 42286604820 in words is "forty-two billion, two hundred eighty-six million, six hundred four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 2239 4478 6717 8956 11195 13434 16567 22390 26868 33134 33585 42541 44780 49701 66268 67170 82835 85082 99402 127623 134340 165670 170164 198804 212705 248505 255246 314773 331340 425410 497010 510492 629546 638115 850820 944319 994020 1259092 1276230 1573865 1888638 2552460 3147730 3777276 4721595 6295460 9443190 18886380 37093513 74187026 111280539 148374052 185467565 222561078 370935130 445122156 556402695 704776747 741870260 1112805390 1409553494 2114330241 2225610780 2819106988 3523883735 4228660482 7047767470 8457320964 10571651205 14095534940 21143302410 42286604820