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44986675680 = 25325174342737
BaseRepresentation
bin101001111001011010…
…100011000111100000
311022010012100220112100
4221321122203013200
51214113042110210
632355552330400
73151545301602
oct517132430740
9138105326470
1044986675680
1118095895311
128875b43a00
13431c22742b
14226a9a1172
1512846aa5c0
hexa796a31e0

44986675680 has 288 divisors, whose sum is σ = 166331509344. Its totient is φ = 11027939328.

The previous prime is 44986675673. The next prime is 44986675753. The reversal of 44986675680 is 8657668944.

44986675680 is a `hidden beast` number, since 4 + 4 + 9 + 8 + 6 + 67 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1031272 + ... + 1074008.

It is an arithmetic number, because the mean of its divisors is an integer number (577539963).

Almost surely, 244986675680 is an apocalyptic number.

44986675680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44986675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83165754672).

44986675680 is an abundant number, since it is smaller than the sum of its proper divisors (121344833664).

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

44986675680 is a wasteful number, since it uses less digits than its factorization.

44986675680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42818 (or 42807 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

It can be divided in two parts, 44986675 and 680, that added together give a triangular number (44987355 = T9485).

The spelling of 44986675680 in words is "forty-four billion, nine hundred eighty-six million, six hundred seventy-five thousand, six hundred eighty".