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207772303947481 = 72132151210492
BaseRepresentation
bin101111001111011111000010…
…010111101111011011011001
31000020122211122002201112100101
4233033133002113233123121
5204213120134302304411
62013521140112535401
761523024244653200
oct5717370227573331
91006584562645311
10207772303947481
1160225814a69189
121b3777b8251561
138bc1ac88c6900
143944339b52237
15190497b3578c1
hexbcf7c25ef6d9

207772303947481 has 81 divisors (see below), whose sum is σ = 263712419700093. Its totient is φ = 163146914985600.

The previous prime is 207772303947413. The next prime is 207772303947487. The reversal of 207772303947481 is 184749303277702.

The square root of 207772303947481 is 14414309.

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 1490438097225 + 206281865850256 = 1220835^2 + 14362516^2 .

It is not a de Polignac number, because 207772303947481 - 217 = 207772303816409 is a prime.

It is a super-2 number, since 2×2077723039474812 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (207772303947487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 198067019445 + ... + 198067020493.

Almost surely, 2207772303947481 is an apocalyptic number.

207772303947481 is the 14414309-th square number.

207772303947481 is the 7207155-th centered octagonal number.

It is an amenable number.

207772303947481 is a deficient number, since it is larger than the sum of its proper divisors (55940115752612).

207772303947481 is an frugal number, since it uses more digits than its factorization.

207772303947481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 99574272, while the sum is 64.

The spelling of 207772303947481 in words is "two hundred seven trillion, seven hundred seventy-two billion, three hundred three million, nine hundred forty-seven thousand, four hundred eighty-one".

Divisors: 1 7 13 49 91 151 169 637 1049 1057 1183 1963 7343 7399 8281 13637 13741 22801 25519 51401 95459 96187 158399 159607 177281 178633 296413 668213 1100401 1108793 1117249 1240967 1250431 2059187 2074891 3853369 7702807 7761551 8686769 14305213 14414309 14524237 23918249 26769431 26973583 53919649 100136491 100900163 166160551 167427743 185967769 187386017 188815081 310937237 700955437 1163123857 1171994201 1301774383 1311702119 2160087163 2176560659 4042184081 8141866999 9112420681 15120610141 15235924613 25090243201 28081133119 28295288567 105844270987 175631702407 196567931833 198067019969 326173161613 1229421916849 1375975522831 2283212131291 4240251100969 15982484919037 29681757706783 207772303947481