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290408429968 = 24294571369541
BaseRepresentation
bin1000011100111011011…
…00001111100110010000
31000202121001200210012121
410032131230033212100
514224224024224333
6341224540304024
726660406632326
oct4163554174620
91022531623177
10290408429968
11102185a95818
1248349242014
1321501944a97
14100ad339d16
15784a5cc32d
hex439db0f990

290408429968 has 40 divisors (see below), whose sum is σ = 583342719480. Its totient is φ = 139890293760.

The previous prime is 290408429921. The next prime is 290408430031. The reversal of 290408429968 is 869924804092.

It can be written as a sum of positive squares in 4 ways, for example, as 25685831824 + 264722598144 = 160268^2 + 514512^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 472723 + ... + 896818.

It is an arithmetic number, because the mean of its divisors is an integer number (14583567987).

Almost surely, 2290408429968 is an apocalyptic number.

It is an amenable number.

290408429968 is an abundant number, since it is smaller than the sum of its proper divisors (292934289512).

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

290408429968 is a wasteful number, since it uses less digits than its factorization.

290408429968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370035 (or 1370029 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 61.

The spelling of 290408429968 in words is "two hundred ninety billion, four hundred eight million, four hundred twenty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 457 464 914 1828 3656 7312 13253 26506 53012 106024 212048 1369541 2739082 5478164 10956328 21912656 39716689 79433378 158866756 317733512 625880237 635467024 1251760474 2503520948 5007041896 10014083792 18150526873 36301053746 72602107492 145204214984 290408429968