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45443000232 = 23327229541821
BaseRepresentation
bin101010010100100111…
…010010011110101000
311100022000000121010200
4222110213102132220
51221031402001412
632513133112200
73166056062100
oct522447223650
9140260017120
1045443000232
11182aa430743
128982928660
134392929a66
1422b1428200
1512ae7979dc
hexa949d27a8

45443000232 has 288 divisors, whose sum is σ = 148559977800. Its totient is φ = 12497587200.

The previous prime is 45443000209. The next prime is 45443000287. The reversal of 45443000232 is 23200034454.

It can be written as a sum of positive squares in 4 ways, for example, as 33027246756 + 12415753476 = 181734^2 + 111426^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45443000196 and 45443000205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55350382 + ... + 55351202.

Almost surely, 245443000232 is an apocalyptic number.

45443000232 is a gapful number since it is divisible by the number (42) 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 45443000232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74279988900).

45443000232 is an abundant number, since it is smaller than the sum of its proper divisors (103116977568).

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

45443000232 is a wasteful number, since it uses less digits than its factorization.

45443000232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 45443000232 its reverse (23200034454), we get a palindrome (68643034686).

The spelling of 45443000232 in words is "forty-five billion, four hundred forty-three million, two hundred thirty-two", and thus it is an aban number.