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5306400729 = 32784228583
BaseRepresentation
bin1001111000100100…
…10011111111011001
3111200210221002100100
410330102103333121
541331414310404
62234314330013
7245332443030
oct47422237731
914623832310
105306400729
112283363453
121041129909
1366748abb6
14384a5d717
15210ccbd39
hex13c493fd9

5306400729 has 12 divisors (see below), whose sum is σ = 8759772736. Its totient is φ = 3032228952.

The previous prime is 5306400707. The next prime is 5306400739. The reversal of 5306400729 is 9270046035.

5306400729 is a `hidden beast` number, since 5 + 3 + 0 + 640 + 0 + 7 + 2 + 9 = 666.

It is not a de Polignac number, because 5306400729 - 212 = 5306396633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5306400693 and 5306400702.

It is not an unprimeable number, because it can be changed into a prime (5306400739) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 42114229 + ... + 42114354.

Almost surely, 25306400729 is an apocalyptic number.

It is an amenable number.

5306400729 is a deficient number, since it is larger than the sum of its proper divisors (3453372007).

5306400729 is a wasteful number, since it uses less digits than its factorization.

5306400729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84228596 (or 84228593 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 5306400729 is about 72845.0460154979. The cubic root of 5306400729 is about 1744.2149904042.

The spelling of 5306400729 in words is "five billion, three hundred six million, four hundred thousand, seven hundred twenty-nine".

Divisors: 1 3 7 9 21 63 84228583 252685749 589600081 758057247 1768800243 5306400729