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290687883444 = 22327231091273623
BaseRepresentation
bin1000011101011100101…
…10010001100010110100
31000210022112112111022100
410032232112101202310
514230312044232234
6341312402102100
730000342145440
oct4165626214264
91023275474270
10290687883444
11102309806302
124840694a930
13215477ca77a
14100d84c1820
157864dcd399
hex43ae5918b4

290687883444 has 288 divisors, whose sum is σ = 891524874240. Its totient is φ = 78072470784.

The previous prime is 290687883379. The next prime is 290687883449. The reversal of 290687883444 is 444388786092.

It is a super-2 number, since 2×2906878834442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290687883449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80232217 + ... + 80235839.

It is an arithmetic number, because the mean of its divisors is an integer number (3095572480).

Almost surely, 2290687883444 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 290687883444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445762437120).

290687883444 is an abundant number, since it is smaller than the sum of its proper divisors (600836990796).

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

290687883444 is a wasteful number, since it uses less digits than its factorization.

290687883444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3899 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 290687883444 in words is "two hundred ninety billion, six hundred eighty-seven million, eight hundred eighty-three thousand, four hundred forty-four".