Search a number
-
+
85062639025 = 52721326412
BaseRepresentation
bin100111100111000100…
…0001101110110110001
322010120011100210011001
41033032020031312301
52343202013422100
6103024403322001
76100634334100
oct1171610156661
9263504323131
1085062639025
1133090707781
121459b380301
138037c55900
14418d2a4037
15232cb99d6a
hex13ce20ddb1

85062639025 has 81 divisors (see below), whose sum is σ = 133070488803. Its totient is φ = 53757849600.

The previous prime is 85062639017. The next prime is 85062639037. The reversal of 85062639025 is 52093626058.

The square root of 85062639025 is 291655.

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

It can be written as a sum of positive squares in 13 ways, for example, as 47995608241 + 37067030784 = 219079^2 + 192528^2 .

It is not a de Polignac number, because 85062639025 - 23 = 85062639017 is a prime.

It is an unprimeable number.

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, 132702705 + ... + 132703345.

Almost surely, 285062639025 is an apocalyptic number.

85062639025 is the 291655-th square number.

85062639025 is the 145828-th centered octagonal number.

It is an amenable number.

85062639025 is a deficient number, since it is larger than the sum of its proper divisors (48007849778).

85062639025 is an equidigital number, since it uses as much as digits as its factorization.

85062639025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 85062639025 in words is "eighty-five billion, sixty-two million, six hundred thirty-nine thousand, twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 169 175 245 325 455 637 641 845 1183 1225 2275 3185 3205 4225 4487 5915 8281 8333 15925 16025 22435 29575 31409 41405 41665 58331 108329 112175 157045 207025 208325 291655 408317 410881 541645 758303 785225 1458275 2041585 2054405 2708225 2876167 3791515 5308121 5341453 10207925 10272025 14380835 18957575 20133169 26540605 26707265 37390171 69438889 71904175 100665845 132703025 133536325 186950855 261731197 347194445 486072223 503329225 934754275 1308655985 1735972225 2430361115 3402505561 6543279925 12151805575 17012527805 85062639025