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6430423257 = 3229831012939
BaseRepresentation
bin1011111110100100…
…00111100011011001
3121121010222100101100
411333102013203121
5101132142021012
62542030142013
7315231460446
oct57722074331
917533870340
106430423257
1127aa896195
1212b5651909
137b62ccb9b
144500529cd
1527980a8dc
hex17f4878d9

6430423257 has 48 divisors (see below), whose sum is σ = 9824068800. Its totient is φ = 4047388800.

The previous prime is 6430423253. The next prime is 6430423267. The reversal of 6430423257 is 7523240346.

6430423257 is a `hidden beast` number, since 643 + 0 + 4 + 2 + 3 + 2 + 5 + 7 = 666.

It is not a de Polignac number, because 6430423257 - 22 = 6430423253 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6430423253) 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 47 ways as a sum of consecutive naturals, for example, 2186494 + ... + 2189432.

It is an arithmetic number, because the mean of its divisors is an integer number (204668100).

Almost surely, 26430423257 is an apocalyptic number.

It is an amenable number.

6430423257 is a deficient number, since it is larger than the sum of its proper divisors (3393645543).

6430423257 is a wasteful number, since it uses less digits than its factorization.

6430423257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 6430423257 is about 80189.9199213966. The cubic root of 6430423257 is about 1859.5728059850.

The spelling of 6430423257 in words is "six billion, four hundred thirty million, four hundred twenty-three thousand, two hundred fifty-seven".

Divisors: 1 3 9 29 83 87 101 249 261 303 747 909 2407 2929 2939 7221 8383 8787 8817 21663 25149 26361 26451 75447 85231 243107 243937 255693 296839 729321 731811 767079 890517 2187963 2195433 2671551 7074173 8608331 21222519 24637637 25824993 63667557 73912911 77474979 221738733 714491473 2143474419 6430423257