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44542624544 = 2511211503777
BaseRepresentation
bin101001011110111100…
…101000001100100000
311020222020210202212222
4221132330220030200
51212210402441134
632243531010212
73134544030065
oct513674501440
9136866722788
1044542624544
1117988172100
128771299968
13427b231392
142227a10c6c
15125a6e4a2e
hexa5ef28320

44542624544 has 36 divisors (see below), whose sum is σ = 96390155862. Its totient is φ = 20246645760.

The previous prime is 44542624537. The next prime is 44542624591.

It is a happy number.

44542624544 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 29070250000 + 15472374544 = 170500^2 + 124388^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 44542624495 and 44542624504.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5748017 + ... + 5755760.

Almost surely, 244542624544 is an apocalyptic number.

44542624544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44542624544 is an abundant number, since it is smaller than the sum of its proper divisors (51847531318).

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

44542624544 is a wasteful number, since it uses less digits than its factorization.

44542624544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11503809 (or 11503790 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 44.

The spelling of 44542624544 in words is "forty-four billion, five hundred forty-two million, six hundred twenty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 11503777 23007554 46015108 92030216 126541547 184060432 253083094 368120864 506166188 1012332376 1391957017 2024664752 2783914034 4049329504 5567828068 11135656136 22271312272 44542624544