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989790732288 = 221322292
BaseRepresentation
bin11100110011101000010…
…00000000000000000000
310111121211012212220000200
432121310020000000000
5112204042411413123
62034411550245200
7131336636260101
oct16316410000000
93447735786020
10989790732288
1135184a078a66
1213b9b2ab6800
137244c12a927
1435c985ac3a8
151ab3031d143
hexe674200000

989790732288 has 198 divisors, whose sum is σ = 2871935733069. Its totient is φ = 328489500672.

The previous prime is 989790732283. The next prime is 989790732299. The reversal of 989790732288 is 882237097989.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 745169485824 + 244621246464 = 863232^2 + 494592^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=703488.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (989790732283) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4322230158 + ... + 4322230386.

Almost surely, 2989790732288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989790732288

989790732288 is an abundant number, since it is smaller than the sum of its proper divisors (1882145000781).

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

989790732288 is an frugal number, since it uses more digits than its factorization.

989790732288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

Multiplying 989790732288 by its sum of digits (72), we get a square (71264932724736 = 84418562).

989790732288 divided by its sum of digits (72) gives a square (13747093504 = 1172482).

The spelling of 989790732288 in words is "nine hundred eighty-nine billion, seven hundred ninety million, seven hundred thirty-two thousand, two hundred eighty-eight".