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11269042785 = 3457211213192
BaseRepresentation
bin10100111111010111…
…11111001001100001
31002002100200200120000
422133223333021201
5141034333332120
65102114410213
7546154166100
oct123753771141
932070620500
1011269042785
114863098700
122225b90969
1310a78a6870
1478c906037
1545e4d5990
hex29faff261

11269042785 has 540 divisors, whose sum is σ = 29357301204. Its totient is φ = 4095463680.

The previous prime is 11269042783. The next prime is 11269042787. The reversal of 11269042785 is 58724096211.

It is an interprime number because it is at equal distance from previous prime (11269042783) and next prime (11269042787).

It can be written as a sum of positive squares in 2 ways, for example, as 2773918224 + 8495124561 = 52668^2 + 92169^2 .

It is not a de Polignac number, because 11269042785 - 21 = 11269042783 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11269042785.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11269042783) by changing a digit.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 593107506 + ... + 593107524.

Almost surely, 211269042785 is an apocalyptic number.

11269042785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11269042785 is an abundant number, since it is smaller than the sum of its proper divisors (18088258419).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11269042785 is a wasteful number, since it uses less digits than its factorization.

11269042785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11269042785 in words is "eleven billion, two hundred sixty-nine million, forty-two thousand, seven hundred eighty-five".