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10054222344 = 2332139641977
BaseRepresentation
bin10010101110100011…
…10100001000001000
3221221200210102012100
421113101310020020
5131042340103334
64341400513400
7504103323405
oct112721641010
927850712170
1010054222344
11429a38a071
121b4717b860
13c42cc36ba
146b54392ac
153dca1dc99
hex257474208

10054222344 has 24 divisors (see below), whose sum is σ = 27230185710. Its totient is φ = 3351407424.

The previous prime is 10054222333. The next prime is 10054222393. The reversal of 10054222344 is 44322245001.

10054222344 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 422 + 234 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9768950244 + 285272100 = 98838^2 + 16890^2 .

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

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 69820917 + ... + 69821060.

Almost surely, 210054222344 is an apocalyptic number.

It is an amenable number.

10054222344 is an abundant number, since it is smaller than the sum of its proper divisors (17175963366).

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

10054222344 is a wasteful number, since it uses less digits than its factorization.

10054222344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139641989 (or 139641982 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 10054222344 its reverse (44322245001), we get a palindrome (54376467345).

The spelling of 10054222344 in words is "ten billion, fifty-four million, two hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139641977 279283954 418925931 558567908 837851862 1117135816 1256777793 1675703724 2513555586 3351407448 5027111172 10054222344