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11302593496489 = 23231324672
BaseRepresentation
bin1010010001111001011100…
…0100100000010110101001
31111000111222011200222102001
42210132113010200112221
52440140202413341424
640012201220211001
72244404542362151
oct244362704402651
944014864628361
1011302593496489
113668448409539
121326627839a61
1363caa3659669
142b1096d05761
151490168b1844
hexa47971205a9

11302593496489 has 27 divisors (see below), whose sum is σ = 11878682009943. Its totient is φ = 10753559580192.

The previous prime is 11302593496457. The next prime is 11302593496501. The reversal of 11302593496489 is 98469439520311.

The square root of 11302593496489 is 3361933.

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., 72105675625 + 11230487820864 = 268525^2 + 3351192^2 .

It is not a de Polignac number, because 11302593496489 - 25 = 11302593496457 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11302593496489.

It is not an unprimeable number, because it can be changed into a prime (11302593496429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24202555434 + ... + 24202555900.

Almost surely, 211302593496489 is an apocalyptic number.

11302593496489 is the 3361933-rd square number.

11302593496489 is the 1680967-th centered octagonal number.

It is an amenable number.

11302593496489 is a deficient number, since it is larger than the sum of its proper divisors (576088513454).

11302593496489 is an frugal number, since it uses more digits than its factorization.

11302593496489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 64.

Multiplying 11302593496489 by its sum of digits (64), we get a square (723365983775296 = 268954642).

The spelling of 11302593496489 in words is "eleven trillion, three hundred two billion, five hundred ninety-three million, four hundred ninety-six thousand, four hundred eighty-nine".

Divisors: 1 23 313 467 529 7199 10741 97969 146171 165577 218089 247043 2253287 3361933 5016047 45751523 51825601 68261857 77324459 115369081 1052285029 1570022711 21365961241 24202555667 36110522353 491417108543 11302593496489