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87762285009 = 3272141072
BaseRepresentation
bin101000110111100001…
…0100011000111010001
322101112022020000020100
41101233002203013101
52414214121110014
6104152322203013
76224555054100
oct1215702430721
9271468200210
1087762285009
1134246581763
12150134b3469
138378347179
144367a44037
152439bb0009
hex146f0a31d1

87762285009 has 27 divisors (see below), whose sum is σ = 147474973737. Its totient is φ = 50146322184.

The previous prime is 87762284999. The next prime is 87762285011. The reversal of 87762285009 is 90058226778.

It is a happy number.

The square root of 87762285009 is 296247.

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

87762285009 is a `hidden beast` number, since 8 + 7 + 7 + 622 + 8 + 5 + 0 + 0 + 9 = 666.

It is not a de Polignac number, because 87762285009 - 25 = 87762284977 is a prime.

It is a super-2 number, since 2×877622850092 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87762285049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6214134 + ... + 6228240.

Almost surely, 287762285009 is an apocalyptic number.

87762285009 is the 296247-th square number.

87762285009 is the 148124-th centered octagonal number.

It is an amenable number.

87762285009 is a deficient number, since it is larger than the sum of its proper divisors (59712688728).

87762285009 is an frugal number, since it uses more digits than its factorization.

87762285009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28234 (or 14117 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 87762285009 in words is "eighty-seven billion, seven hundred sixty-two million, two hundred eighty-five thousand, nine".

Divisors: 1 3 7 9 21 49 63 147 441 14107 42321 98749 126963 296247 691243 888741 2073729 6221187 199007449 597022347 1393052143 1791067041 4179156429 9751365001 12537469287 29254095003 87762285009