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11286013761 = 3211210363649
BaseRepresentation
bin10101000001011001…
…01110011101000001
31002010112121220100200
422200230232131001
5141103204420021
65103522235413
7546451351131
oct124054563501
932115556320
1011286013761
11487172a200
12222b7b5b69
1310ab269369
14790c82ac1
15460c39126
hex2a0b2e741

11286013761 has 18 divisors (see below), whose sum is σ = 17918750850. Its totient is φ = 6840007680.

The previous prime is 11286013757. The next prime is 11286013769. The reversal of 11286013761 is 16731068211.

11286013761 is a `hidden beast` number, since 1 + 1 + 286 + 0 + 1 + 376 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10977800625 + 308213136 = 104775^2 + 17556^2 .

It is not a de Polignac number, because 11286013761 - 22 = 11286013757 is a prime.

It is a super-2 number, since 2×112860137612 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11286013769) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5180736 + ... + 5182913.

Almost surely, 211286013761 is an apocalyptic number.

11286013761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11286013761 is a deficient number, since it is larger than the sum of its proper divisors (6632737089).

11286013761 is a wasteful number, since it uses less digits than its factorization.

11286013761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10363677 (or 10363663 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

It can be divided in two parts, 112860 and 13761, that added together give a palindrome (126621).

The spelling of 11286013761 in words is "eleven billion, two hundred eighty-six million, thirteen thousand, seven hundred sixty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 10363649 31090947 93272841 114000139 342000417 1026001251 1254001529 3762004587 11286013761