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43628939145 = 33511217198269
BaseRepresentation
bin101000101000011111…
…001100011110001001
311011121120112202011000
4220220133030132021
51203323002023040
632013131325213
73103110602211
oct505037143611
9134546482130
1043628939145
1117559442800
1285572b0809
134163b5582c
14217c531241
1512053b3130
hexa287cc789

43628939145 has 192 divisors, whose sum is σ = 95032224000. Its totient is φ = 18858977280.

The previous prime is 43628939119. The next prime is 43628939149. The reversal of 43628939145 is 54193982634.

43628939145 is a `hidden beast` number, since 4 + 3 + 628 + 9 + 3 + 9 + 1 + 4 + 5 = 666.

It is not a de Polignac number, because 43628939145 - 210 = 43628938121 is a prime.

It is a super-2 number, since 2×436289391452 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 43628939091 and 43628939100.

It is not an unprimeable number, because it can be changed into a prime (43628939149) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 5272071 + ... + 5280339.

It is an arithmetic number, because the mean of its divisors is an integer number (494959500).

Almost surely, 243628939145 is an apocalyptic number.

43628939145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

43628939145 is an abundant number, since it is smaller than the sum of its proper divisors (51403284855).

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

43628939145 is a wasteful number, since it uses less digits than its factorization.

43628939145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8341 (or 8324 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 43628939145 in words is "forty-three billion, six hundred twenty-eight million, nine hundred thirty-nine thousand, one hundred forty-five".