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11289752461 = 13329792243
BaseRepresentation
bin10101000001110101…
…11111001110001101
31002010210122211220001
422200322333032031
5141110134034321
65104134324301
7546525212131
oct124072771615
932123584801
1011289752461
114873853139
122230ab9691
1310abc78000
147915773c1
15461226c91
hex2a0ebf38d

11289752461 has 32 divisors (see below), whose sum is σ = 12817728000. Its totient is φ = 9930158784.

The previous prime is 11289752447. The next prime is 11289752501. The reversal of 11289752461 is 16425798211.

It is not a de Polignac number, because 11289752461 - 25 = 11289752429 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11289752431) 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 31 ways as a sum of consecutive naturals, for example, 5032206 + ... + 5034448.

It is an arithmetic number, because the mean of its divisors is an integer number (400554000).

Almost surely, 211289752461 is an apocalyptic number.

It is an amenable number.

11289752461 is a deficient number, since it is larger than the sum of its proper divisors (1527975539).

11289752461 is an equidigital number, since it uses as much as digits as its factorization.

11289752461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2364 counting only the distinct ones).

The product of its digits is 241920, while the sum is 46.

The spelling of 11289752461 in words is "eleven billion, two hundred eighty-nine million, seven hundred fifty-two thousand, four hundred sixty-one".

Divisors: 1 13 29 79 169 377 1027 2197 2243 2291 4901 13351 29159 29783 63713 65047 173563 177197 379067 387179 845611 2303561 4927871 5033327 5138713 10992943 29946293 66803269 142908259 389301809 868442497 11289752461