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10290808329 = 319315823887
BaseRepresentation
bin10011001010110000…
…10100011000001001
3222120011222020011020
421211120110120021
5132033421331304
64421051423053
7513005266434
oct114530243011
928504866136
1010290808329
11440099067a
121bb2454a89
13c8001a5c9
146d8a2281b
154036a35d9
hex265614609

10290808329 has 16 divisors (see below), whose sum is σ = 14909153280. Its totient is φ = 6289796880.

The previous prime is 10290808313. The next prime is 10290808337. The reversal of 10290808329 is 92380809201.

It is not a de Polignac number, because 10290808329 - 24 = 10290808313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10290808529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2910177 + ... + 2913710.

It is an arithmetic number, because the mean of its divisors is an integer number (931822080).

Almost surely, 210290808329 is an apocalyptic number.

10290808329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10290808329 is a deficient number, since it is larger than the sum of its proper divisors (4618344951).

10290808329 is a wasteful number, since it uses less digits than its factorization.

10290808329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5823940.

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 10290808329 in words is "ten billion, two hundred ninety million, eight hundred eight thousand, three hundred twenty-nine".

Divisors: 1 3 19 31 57 93 589 1767 5823887 17471661 110653853 180540497 331961559 541621491 3430269443 10290808329