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60413077582225 = 521492104332
BaseRepresentation
bin11011011110010000001000…
…00001110111000110010001
321220220102201020201220020021
431233020010001313012101
530404301440330112400
6332253215032343441
715503462244440344
oct1557100401670621
9256812636656207
1060413077582225
11182820513695a5
126938561544b81
132792c0c683264
1410cc01969c45b
156eb73962571a
hex36f204077191

60413077582225 has 27 divisors (see below), whose sum is σ = 75425586546163. Its totient is φ = 48001495178240.

The previous prime is 60413077582213. The next prime is 60413077582331. The reversal of 60413077582225 is 52228577031406.

The square root of 60413077582225 is 7772585.

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 53092892801169 + 7320184781056 = 7286487^2 + 2705584^2 .

It is not a de Polignac number, because 60413077582225 - 215 = 60413077549457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5790570609 + ... + 5790581041.

Almost surely, 260413077582225 is an apocalyptic number.

60413077582225 is the 7772585-th square number.

60413077582225 is the 3886293-rd centered octagonal number.

It is an amenable number.

60413077582225 is a deficient number, since it is larger than the sum of its proper divisors (15012508963938).

60413077582225 is an frugal number, since it uses more digits than its factorization.

60413077582225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21174 (or 10587 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 52.

The spelling of 60413077582225 in words is "sixty trillion, four hundred thirteen billion, seventy-seven million, five hundred eighty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 149 745 3725 10433 22201 52165 111005 260825 555025 1554517 7772585 38862925 108847489 231623033 544237445 1158115165 2721187225 5790575825 16218275861 81091379305 405456896525 2416523103289 12082615516445 60413077582225