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45083735440 = 245563546693
BaseRepresentation
bin101001111111001100…
…110011010110010000
311022100222000001111021
4221333030303112100
51214312414013230
632413340525224
73154134266632
oct517714632620
9138328001437
1045083735440
1118135658797
1288a2550814
13433637b843
142279828a52
15128ce7dc7a
hexa7f333590

45083735440 has 20 divisors (see below), whose sum is σ = 104819685084. Its totient is φ = 18033494144.

The previous prime is 45083735387. The next prime is 45083735483. The reversal of 45083735440 is 4453738054.

It can be written as a sum of positive squares in 2 ways, for example, as 31242683536 + 13841051904 = 176756^2 + 117648^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 281773267 + ... + 281773426.

Almost surely, 245083735440 is an apocalyptic number.

45083735440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45083735440 is an abundant number, since it is smaller than the sum of its proper divisors (59735949644).

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

45083735440 is a wasteful number, since it uses less digits than its factorization.

45083735440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563546706 (or 563546700 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 43.

The spelling of 45083735440 in words is "forty-five billion, eighty-three million, seven hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 563546693 1127093386 2254186772 2817733465 4508373544 5635466930 9016747088 11270933860 22541867720 45083735440