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290345895264 = 2533024436409
BaseRepresentation
bin1000011100110011111…
…01101100010101100000
31000202102201000200201110
410032121331230111200
514224112022122024
6341214424103320
726656020250365
oct4163175542540
91022381020643
10290345895264
11102153763547
1248330304b40
13214c19bb1b9
14100a4cdc46c
157844d78629
hex4399f6c560

290345895264 has 24 divisors (see below), whose sum is σ = 762157975320. Its totient is φ = 96781965056.

The previous prime is 290345895221. The next prime is 290345895269. The reversal of 290345895264 is 462598543092.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290345895269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1512218109 + ... + 1512218300.

It is an arithmetic number, because the mean of its divisors is an integer number (31756582305).

Almost surely, 2290345895264 is an apocalyptic number.

290345895264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

290345895264 is an abundant number, since it is smaller than the sum of its proper divisors (471812080056).

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

290345895264 is a wasteful number, since it uses less digits than its factorization.

290345895264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024436422 (or 3024436414 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 290345895264 in words is "two hundred ninety billion, three hundred forty-five million, eight hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3024436409 6048872818 9073309227 12097745636 18146618454 24195491272 36293236908 48390982544 72586473816 96781965088 145172947632 290345895264