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11286406461 = 311400385439
BaseRepresentation
bin10101000001011100…
…01110010100111101
31002010120100212001010
422200232032110331
5141103310001321
65103534505433
7546454605051
oct124056162475
932116325033
1011286406461
114871978250
12222b965279
1310ab376025
14790d45c61
15460cb5676
hex2a0b8e53d

11286406461 has 16 divisors (see below), whose sum is σ = 16420884480. Its totient is φ = 6838457520.

The previous prime is 11286406457. The next prime is 11286406463. The reversal of 11286406461 is 16460468211.

11286406461 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 11286406461 - 22 = 11286406457 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11286406463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89380 + ... + 174818.

It is an arithmetic number, because the mean of its divisors is an integer number (1026305280).

Almost surely, 211286406461 is an apocalyptic number.

11286406461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11286406461 is a deficient number, since it is larger than the sum of its proper divisors (5134478019).

11286406461 is a wasteful number, since it uses less digits than its factorization.

11286406461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89456.

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 11286406461 in words is "eleven billion, two hundred eighty-six million, four hundred six thousand, four hundred sixty-one".

Divisors: 1 3 11 33 4003 12009 44033 85439 132099 256317 939829 2819487 342012317 1026036951 3762135487 11286406461