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4987608129 = 3472192592
BaseRepresentation
bin1001010010100100…
…01101110001000001
3110212121001202010000
410221102031301001
540203311430004
62142525430213
7234411653400
oct45122156101
913777052100
104987608129
11212a413899
12b7240b369
1361641041a
14354597637
151e2d09c39
hex12948dc41

4987608129 has 135 divisors (see below), whose sum is σ = 9304887537. Its totient is φ = 2654294832.

The previous prime is 4987608079. The next prime is 4987608151. The reversal of 4987608129 is 9218067894.

The square root of 4987608129 is 70623.

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

4987608129 is a `hidden beast` number, since 4 + 9 + 8 + 7 + 608 + 1 + 29 = 666.

It is not a de Polignac number, because 4987608129 - 27 = 4987608001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4987608229) 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 134 ways as a sum of consecutive naturals, for example, 84535702 + ... + 84535760.

Almost surely, 24987608129 is an apocalyptic number.

4987608129 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4987608129 is the 70623-rd square number.

4987608129 is the 35312-nd centered octagonal number.

It is an amenable number.

4987608129 is a deficient number, since it is larger than the sum of its proper divisors (4317279408).

4987608129 is an equidigital number, since it uses as much as digits as its factorization.

4987608129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The cubic root of 4987608129 is about 1708.5621246163.

The spelling of 4987608129 in words is "four billion, nine hundred eighty-seven million, six hundred eight thousand, one hundred twenty-nine".

Divisors: 1 3 7 9 19 21 27 49 57 59 63 81 133 147 171 177 189 361 399 413 441 513 531 567 931 1083 1121 1197 1239 1323 1539 1593 2527 2793 2891 3249 3363 3481 3591 3717 3969 4779 7581 7847 8379 8673 9747 10089 10443 10773 11151 17689 21299 22743 23541 24367 25137 26019 29241 30267 31329 33453 53067 54929 63897 66139 68229 70623 73101 75411 78057 90801 93987 149093 159201 164787 170569 191691 198417 204687 211869 219303 234171 281961 447279 462973 477603 494361 511707 575073 595251 635607 657909 1043651 1256641 1341837 1388919 1432809 1483083 1535121 1725219 1785753 1973727 3130953 3240811 3769923 4025511 4166757 4449249 4605363 5357259 8796487 9392859 9722433 11309769 12076533 12500271 13816089 26389461 28178577 29167299 33929307 37500813 61575409 79168383 84535731 87501897 101787921 184726227 237505149 262505691 554178681 712515447 1662536043 4987608129