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57703697727025 = 5272192114232
BaseRepresentation
bin11010001111011001100000…
…11001111011111000110001
321120022102022220112122010211
431013230300121323320301
530030404133104231100
6322420413543224121
715103645264604200
oct1507546031737061
9246272286478124
1057703697727025
1117428001042079
12657b443748041
1326275875c469c
141036c33c93237
156a1013d7e1ba
hex347b3067be31

57703697727025 has 81 divisors (see below), whose sum is σ = 87853668241131. Its totient is φ = 37482428803680.

The previous prime is 57703697726963. The next prime is 57703697727029. The reversal of 57703697727025 is 52072779630775.

The square root of 57703697727025 is 7596295.

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., 20773331181729 + 36930366545296 = 4557777^2 + 6077036^2 .

It is not a de Polignac number, because 57703697727025 - 211 = 57703697724977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57703697727029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5051530464 + ... + 5051541886.

Almost surely, 257703697727025 is an apocalyptic number.

57703697727025 is the 7596295-th square number.

57703697727025 is the 3798148-th centered octagonal number.

It is an amenable number.

57703697727025 is a deficient number, since it is larger than the sum of its proper divisors (30149970514106).

57703697727025 is an frugal number, since it uses more digits than its factorization.

57703697727025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22908 (or 11454 counting only the distinct ones).

The product of its (nonzero) digits is 272273400, while the sum is 67.

The spelling of 57703697727025 in words is "fifty-seven trillion, seven hundred three billion, six hundred ninety-seven million, seven hundred twenty-seven thousand, twenty-five".

Divisors: 1 5 7 19 25 35 49 95 133 175 245 361 475 665 931 1225 1805 2527 3325 4655 9025 11423 12635 17689 23275 57115 63175 79961 88445 217037 285575 399805 442225 559727 1085185 1519259 1999025 2798635 4123703 5425925 7596295 10634813 13993175 20618515 28865921 37981475 53174065 103092575 130484929 144329605 202061447 265870325 652424645 721648025 913394503 1010307235 2479213651 3262123225 4566972515 5051536175 6393761521 12396068255 17354495557 22834862575 31968807605 47105059369 61980341275 86772477785 121481468899 159844038025 235525296845 329735415583 433862388925 607407344495 1177626484225 1648677077915 2308147909081 3037036722475 8243385389575 11540739545405 57703697727025