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11147842944 = 273371979307
BaseRepresentation
bin10100110000111011…
…01001010110000000
31001202220122002122000
422120131221112000
5140312321433234
65042104544000
7543153046560
oct123035512600
931686562560
1011147842944
114800737447
1221b1482000
13108874c794
1477a796da0
15453a44899
hex298769580

11147842944 has 512 divisors, whose sum is σ = 40212480000. Its totient is φ = 2969561088.

The previous prime is 11147842931. The next prime is 11147843011. The reversal of 11147842944 is 44924874111.

11147842944 is a `hidden beast` number, since 1 + 114 + 78 + 429 + 44 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11147842944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36312039 + ... + 36312345.

It is an arithmetic number, because the mean of its divisors is an integer number (78540000).

Almost surely, 211147842944 is an apocalyptic number.

11147842944 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 11147842944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20106240000).

11147842944 is an abundant number, since it is smaller than the sum of its proper divisors (29064637056).

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

11147842944 is a wasteful number, since it uses less digits than its factorization.

11147842944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 417 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 11147842944 in words is "eleven billion, one hundred forty-seven million, eight hundred forty-two thousand, nine hundred forty-four".