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87743326225 = 52592432
BaseRepresentation
bin101000110110111101…
…0001110100000010001
322101110222112210200011
41101231322032200101
52414144242414400
6104150403554521
76224234652502
oct1215572164021
9271428483604
1087743326225
1134236902745
121500908ba41
138374439959
14436530aba9
1524381b78ba
hex146de8e811

87743326225 has 9 divisors (see below), whose sum is σ = 108803561083. Its totient is φ = 70193476120.

The previous prime is 87743326217. The next prime is 87743326271. The reversal of 87743326225 is 52262334778.

The square root of 87743326225 is 296215.

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

It can be written as a sum of positive squares in only one way, i.e., 31587597441 + 56155728784 = 177729^2 + 236972^2 .

It is not a de Polignac number, because 87743326225 - 23 = 87743326217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1451454 + ... + 1510696.

Almost surely, 287743326225 is an apocalyptic number.

87743326225 is the 296215-th square number.

87743326225 is the 148108-th centered octagonal number.

It is an amenable number.

87743326225 is a deficient number, since it is larger than the sum of its proper divisors (21060234858).

87743326225 is an frugal number, since it uses more digits than its factorization.

87743326225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118496 (or 59248 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 49.

Multiplying 87743326225 by its sum of digits (49), we get a square (4299422985025 = 20735052).

The spelling of 87743326225 in words is "eighty-seven billion, seven hundred forty-three million, three hundred twenty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 59243 296215 1481075 3509733049 17548665245 87743326225