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90286850952 = 233229104941221
BaseRepresentation
bin101010000010110000…
…1000000001110001000
322122001020122020122200
41110011201000032020
52434401413212302
6105251024320200
76344251366464
oct1240541001610
9278036566580
1090286850952
11353216344a1
12155b8a73060
13868b39807c
14452704b4a4
15253663e81c
hex1505840388

90286850952 has 96 divisors (see below), whose sum is σ = 253206135000. Its totient is φ = 29029432320.

The previous prime is 90286850909. The next prime is 90286851041. The reversal of 90286850952 is 25905868209.

90286850952 is a `hidden beast` number, since 9 + 0 + 2 + 86 + 8 + 509 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 80886772836 + 9400078116 = 284406^2 + 96954^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2169702 + ... + 2210922.

Almost surely, 290286850952 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 90286850952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126603067500).

90286850952 is an abundant number, since it is smaller than the sum of its proper divisors (162919284048).

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

90286850952 is a wasteful number, since it uses less digits than its factorization.

90286850952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42311 (or 42304 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 90286850952 in words is "ninety billion, two hundred eighty-six million, eight hundred fifty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 1049 2088 2098 3147 4196 6294 8392 9441 12588 18882 25176 30421 37764 41221 60842 75528 82442 91263 121684 123663 164884 182526 243368 247326 273789 329768 365052 370989 494652 547578 730104 741978 989304 1095156 1195409 1483956 2190312 2390818 2967912 3586227 4781636 7172454 9563272 10758681 14344908 21517362 28689816 43034724 43240829 86069448 86481658 129722487 172963316 259444974 345926632 389167461 518889948 778334922 1037779896 1253984041 1556669844 2507968082 3113339688 3761952123 5015936164 7523904246 10031872328 11285856369 15047808492 22571712738 30095616984 45143425476 90286850952