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10084259361 = 311305583617
BaseRepresentation
bin10010110010001000…
…11001011000100001
3222000210022110020110
421121010121120201
5131123032244421
64344352401533
7504616535031
oct113104313041
928023273213
1010084259361
114305335350
121b552462a9
13c492ac497
146b94178c1
153e04a3a76
hex259119621

10084259361 has 8 divisors (see below), whose sum is σ = 14668013664. Its totient is φ = 6111672320.

The previous prime is 10084259309. The next prime is 10084259363. The reversal of 10084259361 is 16395248001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10084259361 - 210 = 10084258337 is a prime.

It is a super-2 number, since 2×100842593612 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10084259363) 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 7 ways as a sum of consecutive naturals, for example, 152791776 + ... + 152791841.

It is an arithmetic number, because the mean of its divisors is an integer number (1833501708).

Almost surely, 210084259361 is an apocalyptic number.

10084259361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10084259361 is a deficient number, since it is larger than the sum of its proper divisors (4583754303).

10084259361 is a wasteful number, since it uses less digits than its factorization.

10084259361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305583631.

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 10084259361 in words is "ten billion, eighty-four million, two hundred fifty-nine thousand, three hundred sixty-one".

Divisors: 1 3 11 33 305583617 916750851 3361419787 10084259361