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87169610025 = 32052
BaseRepresentation
bin101000100101110110…
…1101011000100101001
322100000000000000000000
41101023231223010221
52412010410010100
6104013431133213
76204100313511
oct1211355530451
9270000000000
1087169610025
1133a71a77223
1214a88b14209
1382b2614704
14430d046841
152402b3c900
hex144bb6b129

87169610025 has 63 divisors (see below), whose sum is σ = 162135474631. Its totient is φ = 46490458680.

The previous prime is 87169609999. The next prime is 87169610027. The reversal of 87169610025 is 52001696178.

The square root of 87169610025 is 295245.

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

87169610025 is a `hidden beast` number, since 8 + 7 + 1 + 6 + 9 + 610 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31381059609 + 55788550416 = 177147^2 + 236196^2 .

It is not a de Polignac number, because 87169610025 - 219 = 87169085737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (87169610027) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 17433922003 + ... + 17433922007.

Almost surely, 287169610025 is an apocalyptic number.

87169610025 is the 295245-th square number.

87169610025 is the 147623-rd centered octagonal number.

It is an amenable number.

87169610025 is a deficient number, since it is larger than the sum of its proper divisors (74965864606).

87169610025 is an frugal number, since it uses more digits than its factorization.

87169610025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 8 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

It can be divided in two parts, 871696 and 10025, that added together give a square (881721 = 9392).

The spelling of 87169610025 in words is "eighty-seven billion, one hundred sixty-nine million, six hundred ten thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 1215 2025 2187 3645 6075 6561 10935 18225 19683 32805 54675 59049 98415 164025 177147 295245 492075 531441 885735 1476225 1594323 2657205 4428675 4782969 7971615 13286025 14348907 23914845 39858075 43046721 71744535 119574225 129140163 215233605 358722675 387420489 645700815 1076168025 1162261467 1937102445 3228504075 3486784401 5811307335 9685512225 17433922005 29056536675 87169610025