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57214248025 = 5211243492
BaseRepresentation
bin110101010010001111…
…000010010001011001
312110200100200221110011
4311102033002101121
51414133321414100
642141151521521
74063552040554
oct652217022131
9173610627404
1057214248025
112229aa51400
12b108b292a1
13551a57b23c
142aaa8db69b
15174cdcebba
hexd523c2459

57214248025 has 27 divisors (see below), whose sum is σ = 77999536573. Its totient is φ = 41600794400.

The previous prime is 57214248011. The next prime is 57214248031. The reversal of 57214248025 is 52084241275.

It is a happy number.

The square root of 57214248025 is 239195.

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

It can be written as a sum of positive squares in 4 ways, for example, as 28128992089 + 29085255936 = 167717^2 + 170544^2 .

It is not a de Polignac number, because 57214248025 - 27 = 57214247897 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, 13153551 + ... + 13157899.

Almost surely, 257214248025 is an apocalyptic number.

57214248025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57214248025 is the 239195-th square number.

57214248025 is the 119598-th centered octagonal number.

It is an amenable number.

57214248025 is a deficient number, since it is larger than the sum of its proper divisors (20785288548).

57214248025 is an frugal number, since it uses more digits than its factorization.

57214248025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8730 (or 4365 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 40.

The spelling of 57214248025 in words is "fifty-seven billion, two hundred fourteen million, two hundred forty-eight thousand, twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 4349 21745 47839 108725 239195 526229 1195975 2631145 13155725 18913801 94569005 208051811 472845025 1040259055 2288569921 5201295275 11442849605 57214248025