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290688116313 = 37215118776977
BaseRepresentation
bin1000011101011100101…
…11001010011001011001
31000210022112222022202010
410032232113022121121
514230312124210223
6341312411100133
730000344135400
oct4165627123131
91023275868663
10290688116313
11102309955261
1248406a41649
132154787c76a
14100d8542637
157864e27393
hex43ae5ca659

290688116313 has 48 divisors (see below), whose sum is σ = 454155928704. Its totient is φ = 164895897600.

The previous prime is 290688116287. The next prime is 290688116339. The reversal of 290688116313 is 313611886092.

It is an interprime number because it is at equal distance from previous prime (290688116287) and next prime (290688116339).

It is not a de Polignac number, because 290688116313 - 218 = 290687854169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (290688116363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41660281 + ... + 41667257.

It is an arithmetic number, because the mean of its divisors is an integer number (9461581848).

Almost surely, 2290688116313 is an apocalyptic number.

It is an amenable number.

290688116313 is a deficient number, since it is larger than the sum of its proper divisors (163467812391).

290688116313 is a wasteful number, since it uses less digits than its factorization.

290688116313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9022 (or 9015 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 290688116313 in words is "two hundred ninety billion, six hundred eighty-eight million, one hundred sixteen thousand, three hundred thirteen".

Divisors: 1 3 7 21 49 147 151 453 1057 1877 3171 5631 6977 7399 13139 20931 22197 39417 48839 91973 146517 275919 283427 341873 850281 1025619 1053527 1983989 3160581 5951967 7374689 13095829 13887923 22124067 39287487 41663769 51622823 91670803 154868469 275012409 641695621 1925086863 1977470179 5932410537 13842291253 41526873759 96896038771 290688116313