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20444389520 = 2451546116529
BaseRepresentation
bin10011000010100101…
…001010000010010000
31221202210201121001212
4103002211022002100
5313332230431040
613220402115252
71322426305112
oct230245120220
957683647055
1020444389520
118741363495
123b6694bb28
131c0a78ba09
14dbd3233b2
157e9c9bd65
hex4c294a090

20444389520 has 40 divisors (see below), whose sum is σ = 47539155960. Its totient is φ = 8176732160.

The previous prime is 20444389489. The next prime is 20444389529. The reversal of 20444389520 is 2598344402.

It can be written as a sum of positive squares in 4 ways, for example, as 3113193616 + 17331195904 = 55796^2 + 131648^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (20444389529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1228616 + ... + 1245144.

It is an arithmetic number, because the mean of its divisors is an integer number (1188478899).

Almost surely, 220444389520 is an apocalyptic number.

20444389520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20444389520 is an abundant number, since it is smaller than the sum of its proper divisors (27094766440).

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

20444389520 is a wasteful number, since it uses less digits than its factorization.

20444389520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32003 (or 31997 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 20444389520 in words is "twenty billion, four hundred forty-four million, three hundred eighty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 15461 16529 30922 33058 61844 66116 77305 82645 123688 132232 154610 165290 247376 264464 309220 330580 618440 661160 1236880 1322320 255554869 511109738 1022219476 1277774345 2044438952 2555548690 4088877904 5111097380 10222194760 20444389520