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44799782973696 = 28345328772
BaseRepresentation
bin10100010111110110000110…
…01001100111000100000000
312212121211001220101101010000
422023323003021213010000
521332444423420124241
6235140423003040000
712302451246132132
oct1213730311470400
9185554056341100
1044799782973696
1113302532619353
1250365b8810000
131bcc7a83a381a
14b0c46d009052
1552a529de9eb6
hex28bec3267100

44799782973696 has 405 divisors, whose sum is σ = 136308296965071. Its totient is φ = 14634794962944.

The previous prime is 44799782973683. The next prime is 44799782973763. The reversal of 44799782973696 is 69637928799744.

The square root of 44799782973696 is 6693264.

It is a perfect power (a square), and thus also a powerful number.

44799782973696 is a `hidden beast` number, since 4 + 4 + 7 + 99 + 78 + 2 + 97 + 369 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14540982333696 + 30258800640000 = 3813264^2 + 5500800^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 51082990410 + ... + 51082991286.

Almost surely, 244799782973696 is an apocalyptic number.

44799782973696 is the 6693264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44799782973696

44799782973696 is an abundant number, since it is smaller than the sum of its proper divisors (91508513991375).

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

44799782973696 is an frugal number, since it uses more digits than its factorization.

44799782973696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 935 counting only the distinct ones).

The product of its digits is 62219695104, while the sum is 90.

The spelling of 44799782973696 in words is "forty-four trillion, seven hundred ninety-nine billion, seven hundred eighty-two million, nine hundred seventy-three thousand, six hundred ninety-six".