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11106754344 = 23357316657
BaseRepresentation
bin10100101100000001…
…11001111100101000
31001200001022120200000
422112000321330220
5140221312114334
65034040143000
7542143566000
oct122600717450
931601276600
1011106754344
11478a522a24
12219b767a60
1310800945ba
1477513d000
1545012a299
hex296039f28

11106754344 has 192 divisors, whose sum is σ = 36381072000. Its totient is φ = 3173167872.

The previous prime is 11106754331. The next prime is 11106754367. The reversal of 11106754344 is 44345760111.

11106754344 is a `hidden beast` number, since 1 + 1 + 10 + 67 + 543 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11106754299 and 11106754308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 658464 + ... + 675120.

It is an arithmetic number, because the mean of its divisors is an integer number (189484750).

Almost surely, 211106754344 is an apocalyptic number.

11106754344 is a gapful number since it is divisible by the number (14) 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 11106754344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18190536000).

11106754344 is an abundant number, since it is smaller than the sum of its proper divisors (25274317656).

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

11106754344 is an equidigital number, since it uses as much as digits as its factorization.

11106754344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16699 (or 16669 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 11106754344 in words is "eleven billion, one hundred six million, seven hundred fifty-four thousand, three hundred forty-four".