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44521812544 = 261125749201
BaseRepresentation
bin101001011101101101…
…001111001001000000
311020220210122102012011
4221131231033021000
51212140041000134
632241504542304
73134202106516
oct513555171100
9136823572164
1044521812544
1117977447800
128766321994
134276b254a1
142224d544b6
151258983264
hexa5db4f240

44521812544 has 42 divisors (see below), whose sum is σ = 97109770982. Its totient is φ = 20237184000.

The previous prime is 44521812523. The next prime is 44521812553.

It is a happy number.

44521812544 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 39553254400 + 4968558144 = 198880^2 + 70488^2 .

It is a junction number, because it is equal to n+sod(n) for n = 44521812497 and 44521812506.

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 5 ways as a sum of consecutive naturals, for example, 2866857 + ... + 2882344.

Almost surely, 244521812544 is an apocalyptic number.

44521812544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44521812544 is an abundant number, since it is smaller than the sum of its proper divisors (52587958438).

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

44521812544 is a wasteful number, since it uses less digits than its factorization.

44521812544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5749235 (or 5749214 counting only the distinct ones).

The product of its digits is 204800, while the sum is 40.

The spelling of 44521812544 in words is "forty-four billion, five hundred twenty-one million, eight hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 5749201 11498402 22996804 45993608 63241211 91987216 126482422 183974432 252964844 367948864 505929688 695653321 1011859376 1391306642 2023718752 2782613284 4047437504 5565226568 11130453136 22260906272 44521812544