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42536590080 = 283523481619
BaseRepresentation
bin100111100111011000…
…001101101100000000
311001210110002122221020
4213213120031230000
51144103331340310
631312510425440
73034045023105
oct474730155400
9131713078836
1042536590080
1117048883786
1282b1502280
13401b75343a
1420b7424aac
15118e53e170
hex9e760db00

42536590080 has 144 divisors (see below), whose sum is σ = 141758104320. Its totient is φ = 10849890304.

The previous prime is 42536590079. The next prime is 42536590097. The reversal of 42536590080 is 8009563524.

It is a super-3 number, since 3×425365900803 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152490 + ... + 329129.

It is an arithmetic number, because the mean of its divisors is an integer number (984431280).

Almost surely, 242536590080 is an apocalyptic number.

42536590080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42536590080 is an abundant number, since it is smaller than the sum of its proper divisors (99221514240).

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

42536590080 is a wasteful number, since it uses less digits than its factorization.

42536590080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481666 (or 481652 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 42536590080 in words is "forty-two billion, five hundred thirty-six million, five hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 552 640 690 736 768 920 960 1104 1280 1380 1472 1840 1920 2208 2760 2944 3680 3840 4416 5520 5888 7360 8832 11040 14720 17664 22080 29440 44160 88320 481619 963238 1444857 1926476 2408095 2889714 3852952 4816190 5779428 7224285 7705904 9632380 11077237 11558856 14448570 15411808 19264760 22154474 23117712 28897140 30823616 33231711 38529520 44308948 46235424 55386185 57794280 61647232 66463422 77059040 88617896 92470848 110772370 115588560 123294464 132926844 154118080 166158555 177235792 184941696 221544740 231177120 265853688 308236160 332317110 354471584 369883392 443089480 462354240 531707376 616472320 664634220 708943168 886178960 924708480 1063414752 1329268440 1417886336 1772357920 1849416960 2126829504 2658536880 2835772672 3544715840 4253659008 5317073760 7089431680 8507318016 10634147520 14178863360 21268295040 42536590080