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11261417431392 = 253459897571093
BaseRepresentation
bin1010001111100000000011…
…0010010010000101100000
31110212120200112200010220000
42203320000302102011200
52434001340330301032
635541231310220000
72241416264531142
oct243700062220540
943776615603800
1011261417431392
113651a38612377
12131a655ab4600
13638c40a430bb
142ad0ac478c92
15147e06a1ae7c
hexa3e00c92160

11261417431392 has 480 divisors, whose sum is σ = 34135495178400. Its totient is φ = 3640565440512.

The previous prime is 11261417431373. The next prime is 11261417431421. The reversal of 11261417431392 is 29313471416211.

11261417431392 is a `hidden beast` number, since 1 + 1 + 2 + 61 + 4 + 174 + 31 + 392 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10303217598 + ... + 10303218690.

It is an arithmetic number, because the mean of its divisors is an integer number (71115614955).

Almost surely, 211261417431392 is an apocalyptic number.

11261417431392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11261417431392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17067747589200).

11261417431392 is an abundant number, since it is smaller than the sum of its proper divisors (22874077747008).

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

11261417431392 is a wasteful number, since it uses less digits than its factorization.

11261417431392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2003 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 11261417431392 in words is "eleven trillion, two hundred sixty-one billion, four hundred seventeen million, four hundred thirty-one thousand, three hundred ninety-two".