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290163331720 = 23570110348193
BaseRepresentation
bin1000011100011110001…
…01010001001010001000
31000201221222111111121201
410032033011101022020
514223223303103340
6341144343113544
726651342424223
oct4161705211210
91021858444551
10290163331720
1110206a6aa889
124829b1428b4
1321492c2a532
14100889785ba
157833d1579a
hex438f151288

290163331720 has 32 divisors (see below), whose sum is σ = 653798896920. Its totient is φ = 115899750400.

The previous prime is 290163331699. The next prime is 290163331721. The reversal of 290163331720 is 27133361092.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 230033425924 + 60129905796 = 479618^2 + 245214^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 290163331720.

It is not an unprimeable number, because it can be changed into a prime (290163331721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5146057 + ... + 5202136.

Almost surely, 2290163331720 is an apocalyptic number.

290163331720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290163331720 is an abundant number, since it is smaller than the sum of its proper divisors (363635565200).

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

290163331720 is a wasteful number, since it uses less digits than its factorization.

290163331720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10348905 (or 10348901 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The spelling of 290163331720 in words is "two hundred ninety billion, one hundred sixty-three million, three hundred thirty-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 701 1402 2804 3505 5608 7010 14020 28040 10348193 20696386 41392772 51740965 82785544 103481930 206963860 413927720 7254083293 14508166586 29016333172 36270416465 58032666344 72540832930 145081665860 290163331720