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11112844608 = 2632173111521
BaseRepresentation
bin10100101100110000…
…01000110101000000
31001200110202222221100
422112120020311000
5140224342011413
65034414454400
7542246422605
oct122630106500
931613688840
1011112844608
114792a026a8
1221a1804400
1310814176c8
14775c866ac
1545092ea73
hex296608d40

11112844608 has 84 divisors (see below), whose sum is σ = 32037371028. Its totient is φ = 3682836480.

The previous prime is 11112844607. The next prime is 11112844619. The reversal of 11112844608 is 80644821111.

11112844608 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 2 + 8 + 44 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7855631424 + 3257213184 = 88632^2 + 57072^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112844607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43888 + ... + 155408.

Almost surely, 211112844608 is an apocalyptic number.

11112844608 is a gapful number since it is divisible by the number (18) 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 11112844608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16018685514).

11112844608 is an abundant number, since it is smaller than the sum of its proper divisors (20924526420).

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

11112844608 is a wasteful number, since it uses less digits than its factorization.

11112844608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111712 (or 111699 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 11112844608 in words is "eleven billion, one hundred twelve million, eight hundred forty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 173 192 288 346 519 576 692 1038 1384 1557 2076 2768 3114 4152 5536 6228 8304 11072 12456 16608 24912 33216 49824 99648 111521 223042 334563 446084 669126 892168 1003689 1338252 1784336 2007378 2676504 3568672 4014756 5353008 7137344 8029512 10706016 16059024 19293133 21412032 32118048 38586266 57879399 64236096 77172532 115758798 154345064 173638197 231517596 308690128 347276394 463035192 617380256 694552788 926070384 1234760512 1389105576 1852140768 2778211152 3704281536 5556422304 11112844608