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11056140400527 = 3317241481720749
BaseRepresentation
bin1010000011100011010101…
…0100100011011110001111
31110010221211102201111221000
42200320311110203132033
52422120433420304102
635303042031111343
72220531315543405
oct240706524433617
943127742644830
1011056140400527
113582979028842
1212a6907072553
1362278837a271
142a31975c1475
151428e016c01c
hexa0e3552378f

11056140400527 has 64 divisors (see below), whose sum is σ = 17419382640000. Its totient is φ = 6906634076160.

The previous prime is 11056140400381. The next prime is 11056140400541. The reversal of 11056140400527 is 72500404165011.

11056140400527 is a `hidden beast` number, since 1 + 1 + 0 + 56 + 1 + 40 + 40 + 0 + 527 = 666.

11056140400527 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11056140400527 - 214 = 11056140384143 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11056140400491 and 11056140400500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11056140420527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532841349 + ... + 532862097.

It is an arithmetic number, because the mean of its divisors is an integer number (272177853750).

Almost surely, 211056140400527 is an apocalyptic number.

11056140400527 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

11056140400527 is a deficient number, since it is larger than the sum of its proper divisors (6363242239473).

11056140400527 is a wasteful number, since it uses less digits than its factorization.

11056140400527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25833 (or 25827 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 11056140400527 its reverse (72500404165011), we get a palindrome (83556544565538).

The spelling of 11056140400527 in words is "eleven trillion, fifty-six billion, one hundred forty million, four hundred thousand, five hundred twenty-seven".

Divisors: 1 3 9 17 27 51 153 241 459 723 2169 4097 4817 6507 12291 14451 20749 36873 43353 62247 81889 110619 130059 186741 245667 352733 560223 737001 1058199 1160897 2211003 3174597 3482691 5000509 9523791 10448073 15001527 19735249 31344219 45004581 59205747 85008653 99947933 135013743 177617241 255025959 299843799 532851723 765077877 899531397 1699114861 2295233631 2698594191 5097344583 15292033749 24087451853 45876101247 72262355559 216787066677 409486681501 650361200031 1228460044503 3685380133509 11056140400527