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87343300521 = 32292432792
BaseRepresentation
bin101000101011000010…
…0001111111110101001
322100110002211101120100
41101112010033332221
52412334341104041
6104042554020013
76211306543011
oct1212604177651
9270402741510
1087343300521
113405101a494
1214b17117609
13830c5b9759
14432813ac41
152412eeb6b6
hex145610ffa9

87343300521 has 81 divisors (see below), whose sum is σ = 135487088919. Its totient is φ = 54218402784.

The previous prime is 87343300507. The next prime is 87343300529. The reversal of 87343300521 is 12500334378.

The square root of 87343300521 is 295539.

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

87343300521 is a `hidden beast` number, since 8 + 7 + 343 + 300 + 5 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45800708121 + 41542592400 = 214011^2 + 203820^2 .

It is not a de Polignac number, because 87343300521 - 25 = 87343300489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87343300529) 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 80 ways as a sum of consecutive naturals, for example, 1105611360 + ... + 1105611438.

Almost surely, 287343300521 is an apocalyptic number.

87343300521 is the 295539-th square number.

87343300521 is the 147770-th centered octagonal number.

It is an amenable number.

87343300521 is a deficient number, since it is larger than the sum of its proper divisors (48143788398).

87343300521 is an equidigital number, since it uses as much as digits as its factorization.

87343300521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Multiplying 87343300521 by its sum of digits (36), we get a square (3144358818756 = 17732342).

Adding to 87343300521 its reverse (12500334378), we get a palindrome (99843634899).

The spelling of 87343300521 in words is "eighty-seven billion, three hundred forty-three million, three hundred thousand, five hundred twenty-one".

Divisors: 1 3 9 29 43 79 87 129 237 261 387 711 841 1247 1849 2291 2523 3397 3741 5547 6241 6873 7569 10191 11223 16641 18723 20619 30573 36163 53621 56169 66439 98513 108489 146071 160863 180989 199317 268363 295539 325467 438213 482589 542967 597951 805089 886617 1314639 1555009 1628901 2415267 2856877 4236059 4665027 5248681 7782527 8570631 11539609 12708177 13995081 15746043 23347581 25711893 34618827 38124531 47238129 70042743 103856481 122845711 225693283 334648661 368537133 677079849 1003945983 1105611399 2031239547 3011837949 9704811169 29114433507 87343300521