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6409630347 = 315734938993
BaseRepresentation
bin1011111100000101…
…10011001010001011
3121112200211221212120
411332002303022023
5101111331132342
62540004342323
7314556646641
oct57602631213
917480757776
106409630347
11279a08416a
1212aa6a49a3
137b1bcc8a3
1444b39d191
15277a9eaec
hex17e0b328b

6409630347 has 16 divisors (see below), whose sum is σ = 8625472800. Its totient is φ = 4233595392.

The previous prime is 6409630321. The next prime is 6409630349. The reversal of 6409630347 is 7430369046.

It is not a de Polignac number, because 6409630347 - 27 = 6409630219 is a prime.

It is a super-3 number, since 3×64096303473 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 6409630299 and 6409630308.

It is not an unprimeable number, because it can be changed into a prime (6409630349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144883 + ... + 183875.

It is an arithmetic number, because the mean of its divisors is an integer number (539092050).

Almost surely, 26409630347 is an apocalyptic number.

6409630347 is a deficient number, since it is larger than the sum of its proper divisors (2215842453).

6409630347 is a wasteful number, since it uses less digits than its factorization.

6409630347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39502.

The product of its (nonzero) digits is 326592, while the sum is 42.

The square root of 6409630347 is about 80060.1670432931. The cubic root of 6409630347 is about 1857.5663190517.

It can be divided in two parts, 6409 and 630347, that added together give a triangular number (636756 = T1128).

The spelling of 6409630347 in words is "six billion, four hundred nine million, six hundred thirty thousand, three hundred forty-seven".

Divisors: 1 3 157 349 471 1047 38993 54793 116979 164379 6121901 13608557 18365703 40825671 2136543449 6409630347