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6414888649 = 1326121012
BaseRepresentation
bin1011111100101101…
…10110111011001001
3121120001202002220111
411332112312323021
5101114202414044
62540313154321
7314652440161
oct57626667311
917501662814
106414888649
1127a2045874
1212b03bb9a1
137b3021100
1444bd6b5a1
1527828cb34
hex17e5b6ec9

6414888649 has 27 divisors (see below), whose sum is σ = 7132653567. Its totient is φ = 5766696000.

The previous prime is 6414888643. The next prime is 6414888679. The reversal of 6414888649 is 9468884146.

The square root of 6414888649 is 80093.

It is a perfect power (a square), and thus also a powerful number.

6414888649 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 5546525625 + 868363024 = 74475^2 + 29468^2 .

It is not a de Polignac number, because 6414888649 - 213 = 6414880457 is a prime.

It is a super-3 number, since 3×64148886493 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6414888593 and 6414888602.

It is not an unprimeable number, because it can be changed into a prime (6414888643) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63513699 + ... + 63513799.

Almost surely, 26414888649 is an apocalyptic number.

6414888649 is the 80093-rd square number.

6414888649 is the 40047-th centered octagonal number.

It is an amenable number.

6414888649 is a deficient number, since it is larger than the sum of its proper divisors (717764918).

6414888649 is an equidigital number, since it uses as much as digits as its factorization.

6414888649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 175 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 58.

The cubic root of 6414888649 is about 1858.0741473420.

The spelling of 6414888649 in words is "six billion, four hundred fourteen million, eight hundred eighty-eight thousand, six hundred forty-nine".

Divisors: 1 13 61 101 169 793 1313 3721 6161 10201 10309 17069 48373 80093 132613 375821 622261 628849 1041209 1723969 4885673 8089393 37957921 63513749 105162109 493452973 6414888649