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11042436889 = 1124122332
BaseRepresentation
bin10100100100010111…
…00011011100011001
31001111120021220201001
422102023203130121
5140103330440024
65023421425001
7540433110361
oct122213433431
931446256631
1011042436889
114757193300
12218210b161
13106c965433
1476a7999a1
15449673244
hex2922e3719

11042436889 has 27 divisors (see below), whose sum is σ = 12494436157. Its totient is φ = 9751702400.

The previous prime is 11042436883. The next prime is 11042436931. The reversal of 11042436889 is 98863424011.

The square root of 11042436889 is 105083.

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 6581265625 + 4461171264 = 81125^2 + 66792^2 .

It is a de Polignac number, because none of the positive numbers 2k-11042436889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11042436883) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 47392317 + ... + 47392549.

Almost surely, 211042436889 is an apocalyptic number.

11042436889 is the 105083-rd square number.

11042436889 is the 52542-nd centered octagonal number.

It is an amenable number.

11042436889 is a deficient number, since it is larger than the sum of its proper divisors (1451999268).

11042436889 is an frugal number, since it uses more digits than its factorization.

11042436889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

It can be divided in two parts, 11042 and 436889, that added together give a triangular number (447931 = T946).

The spelling of 11042436889 in words is "eleven billion, forty-two million, four hundred thirty-six thousand, eight hundred eighty-nine".

Divisors: 1 11 41 121 233 451 1681 2563 4961 9553 18491 28193 54289 105083 203401 391673 597179 1155913 2225849 4308403 6568969 24484339 47392433 91259809 269327729 1003857899 11042436889