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1628161605 = 325723224729
BaseRepresentation
bin110000100001011…
…1100011001000101
311012110200011211200
41201002330121011
511313302132410
6425321053113
755230100560
oct14102743105
94173604750
101628161605
11766066a04
12395327199
131cc416045
141163454d7
1597e133c0
hex610bc645

1628161605 has 48 divisors (see below), whose sum is σ = 3365556480. Its totient is φ = 711938304.

The previous prime is 1628161603. The next prime is 1628161609. The reversal of 1628161605 is 5061618261.

1628161605 is a `hidden beast` number, since 1 + 628 + 16 + 16 + 0 + 5 = 666.

It is not a de Polignac number, because 1628161605 - 21 = 1628161603 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1628161605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1628161603) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 105120 + ... + 119609.

It is an arithmetic number, because the mean of its divisors is an integer number (70115760).

Almost surely, 21628161605 is an apocalyptic number.

1628161605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1628161605 is an abundant number, since it is smaller than the sum of its proper divisors (1737394875).

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

1628161605 is a wasteful number, since it uses less digits than its factorization.

1628161605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224770 (or 224767 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1628161605 is about 40350.4845695811. The cubic root of 1628161605 is about 1176.4293105794.

Adding to 1628161605 its reverse (5061618261), we get a palindrome (6689779866).

The spelling of 1628161605 in words is "one billion, six hundred twenty-eight million, one hundred sixty-one thousand, six hundred five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 483 805 1035 1449 2415 7245 224729 674187 1123645 1573103 2022561 3370935 4719309 5168767 7865515 10112805 14157927 15506301 23596545 25843835 36181369 46518903 70789635 77531505 108544107 180906845 232594515 325632321 542720535 1628161605