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28057583957481 = 36132150912
BaseRepresentation
bin1100110000100101010100…
…10100110011010111101001
310200100021112021020001000000
412120102222110303113221
512134143412443114411
6135401250502133213
75624044041425121
oct630225224632751
9120307467201000
1028057583957481
118a38177758881
1231918b8121209
131286a84c20400
146cddcc555c81
15339c973a9956
hex1984aa5335e9

28057583957481 has 63 divisors (see below), whose sum is σ = 45555001914087. Its totient is φ = 17265061373040.

The previous prime is 28057583957453. The next prime is 28057583957531. The reversal of 28057583957481 is 18475938575082.

The square root of 28057583957481 is 5296941.

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

28057583957481 is a `hidden beast` number, since 2 + 8 + 0 + 5 + 7 + 58 + 3 + 95 + 7 + 481 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4150530171225 + 23907053786256 = 2037285^2 + 4889484^2 .

It is not a de Polignac number, because 28057583957481 - 25 = 28057583957449 is a prime.

It is a super-2 number, since 2×280575839574812 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (28057583957401) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1859218746 + ... + 1859233836.

Almost surely, 228057583957481 is an apocalyptic number.

28057583957481 is the 5296941-st square number.

28057583957481 is the 2648471-st centered octagonal number.

It is an amenable number.

28057583957481 is a deficient number, since it is larger than the sum of its proper divisors (17497417956606).

28057583957481 is an frugal number, since it uses more digits than its factorization.

28057583957481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30226 (or 15107 counting only the distinct ones).

The product of its (nonzero) digits is 677376000, while the sum is 72.

The spelling of 28057583957481 in words is "twenty-eight trillion, fifty-seven billion, five hundred eighty-three million, nine hundred fifty-seven thousand, four hundred eighty-one".

Divisors: 1 3 9 13 27 39 81 117 169 243 351 507 729 1053 1521 3159 4563 9477 13689 15091 41067 45273 123201 135819 196183 407457 588549 1222371 1765647 2550379 3667113 5296941 7651137 11001339 15890823 22953411 47672469 68860233 143017407 206580699 227738281 619742097 683214843 1859226291 2049644529 2960597653 6148933587 8881792959 18446800761 26645378877 38487769489 55340402283 79936136631 115463308467 166021206849 239808409893 346389925401 719425229679 1039169776203 2158275689037 3117509328609 9352527985827 28057583957481