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290212282368 = 22532312
BaseRepresentation
bin1000011100100100000…
…00000000000000000000
31000202002101121110021200
410032102000000000000
514223323321013433
6341153252221200
726652505461411
oct4162200000000
91022071543250
10290212282368
111020952a4168
12482b360a800
13214a0109108
141009127b808
157838284613
hex4392000000

290212282368 has 234 divisors, whose sum is σ = 866308312467. Its totient is φ = 93616865280.

The previous prime is 290212282357. The next prime is 290212282417. The reversal of 290212282368 is 863282212092.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

290212282368 is a `hidden beast` number, since 2 + 9 + 0 + 2 + 1 + 2 + 282 + 368 = 666.

It can be written as a sum of positive squares in only one way, i.e., 145106141184 + 145106141184 = 380928^2 + 380928^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=380928.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9361686513 + ... + 9361686543.

Almost surely, 2290212282368 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 290212282368

290212282368 is an abundant number, since it is smaller than the sum of its proper divisors (576096030099).

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

290212282368 is an frugal number, since it uses more digits than its factorization.

290212282368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 290212282368 in words is "two hundred ninety billion, two hundred twelve million, two hundred eighty-two thousand, three hundred sixty-eight".