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11456403431 = 1123318317599
BaseRepresentation
bin10101010101101101…
…01101011111100111
31002120102020121001012
422222312231133213
5141430314402211
65132450252435
7553620552044
oct125266553747
932512217035
1011456403431
114949928510
12227888711b
131107656b55
147a97581cb
15470b94d8b
hex2aadad7e7

11456403431 has 32 divisors (see below), whose sum is σ = 13624934400. Its totient is φ = 9524037600.

The previous prime is 11456403421. The next prime is 11456403433. The reversal of 11456403431 is 13430465411.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-11456403431 is a prime.

It is a super-2 number, since 2×114564034312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11456403433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 642170 + ... + 659768.

It is an arithmetic number, because the mean of its divisors is an integer number (425779200).

Almost surely, 211456403431 is an apocalyptic number.

11456403431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11456403431 is a deficient number, since it is larger than the sum of its proper divisors (2168530969).

11456403431 is a wasteful number, since it uses less digits than its factorization.

11456403431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17747.

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 11456403431 its reverse (13430465411), we get a palindrome (24886868842).

The spelling of 11456403431 in words is "eleven billion, four hundred fifty-six million, four hundred three thousand, four hundred thirty-one".

Divisors: 1 11 23 31 83 253 341 713 913 1909 2573 7843 17599 20999 28303 59179 193589 404777 545569 650969 1460717 4452547 6001259 12548087 16067887 33596491 45282227 138028957 369561401 498104497 1041491221 11456403431