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1628378466 = 2311135335809
BaseRepresentation
bin110000100001111…
…0001010101100010
311012111002012022120
41201003301111202
511313331102331
6425325445110
755231663041
oct14103612542
94174065276
101628378466
117661a4930
12395410796
131cc490970
141163a0558
1597e57796
hex610f1562

1628378466 has 64 divisors (see below), whose sum is σ = 3898419840. Its totient is φ = 446883840.

The previous prime is 1628378429. The next prime is 1628378501. The reversal of 1628378466 is 6648738261.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27570 + ... + 63378.

It is an arithmetic number, because the mean of its divisors is an integer number (60912810).

Almost surely, 21628378466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1628378466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949209920).

1628378466 is an abundant number, since it is smaller than the sum of its proper divisors (2270041374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1628378466 is a wasteful number, since it uses less digits than its factorization.

1628378466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35891.

The product of its digits is 2322432, while the sum is 51.

The square root of 1628378466 is about 40353.1716969063. The cubic root of 1628378466 is about 1176.4815392833.

It can be divided in two parts, 16283 and 78466, that added together give a palindrome (94749).

The spelling of 1628378466 in words is "one billion, six hundred twenty-eight million, three hundred seventy-eight thousand, four hundred sixty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 53 66 78 106 143 159 286 318 429 583 689 858 1166 1378 1749 2067 3498 4134 7579 15158 22737 35809 45474 71618 107427 214854 393899 465517 787798 931034 1181697 1396551 1897877 2363394 2793102 3795754 5120687 5693631 10241374 11387262 15362061 20876647 24672401 30724122 41753294 49344802 62629941 74017203 125259882 148034406 271396411 542792822 814189233 1628378466