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9380429305 = 513541726641
BaseRepresentation
bin10001011110001110…
…11111110111111001
3220012201221011220121
420233013133313321
5123202342214210
64150451053241
7451312222252
oct105707376771
926181834817
109380429305
113a8400a415
1219995a1221
13b6652b9b0
1464db63b29
1539d7c66da
hex22f1dfdf9

9380429305 has 16 divisors (see below), whose sum is σ = 12125093904. Its totient is φ = 6925547520.

The previous prime is 9380429213. The next prime is 9380429309. The reversal of 9380429305 is 5039240839.

It can be written as a sum of positive squares in 8 ways, for example, as 4649603344 + 4730825961 = 68188^2 + 68781^2 .

It is not a de Polignac number, because 9380429305 - 221 = 9378332153 is a prime.

It is a super-2 number, since 2×93804293052 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9380429309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338785 + ... + 365425.

It is an arithmetic number, because the mean of its divisors is an integer number (757818369).

Almost surely, 29380429305 is an apocalyptic number.

It is an amenable number.

9380429305 is a deficient number, since it is larger than the sum of its proper divisors (2744664599).

9380429305 is a wasteful number, since it uses less digits than its factorization.

9380429305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32076.

The product of its (nonzero) digits is 233280, while the sum is 43.

The square root of 9380429305 is about 96852.6164076118. The cubic root of 9380429305 is about 2108.9886294307.

The spelling of 9380429305 in words is "nine billion, three hundred eighty million, four hundred twenty-nine thousand, three hundred five".

Divisors: 1 5 13 65 5417 26641 27085 70421 133205 346333 352105 1731665 144314297 721571485 1876085861 9380429305