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44695035648 = 2832171676833
BaseRepresentation
bin101001101000000010…
…000001111100000000
311021100212121001121200
4221220002001330000
51213013412120043
632311013421200
73141404351244
oct515002017400
9137325531550
1044695035648
1117a5620089a
1287b433a800
1342a3995873
14223dd66424
151268c9d7d3
hexa68081f00

44695035648 has 216 divisors, whose sum is σ = 137284344288. Its totient is φ = 13935968256.

The previous prime is 44695035629. The next prime is 44695035667. The reversal of 44695035648 is 84653059644.

44695035648 is a `hidden beast` number, since 4 + 46 + 9 + 503 + 56 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (44695035629) and next prime (44695035667).

It is a junction number, because it is equal to n+sod(n) for n = 44695035594 and 44695035603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6537640 + ... + 6544472.

It is an arithmetic number, because the mean of its divisors is an integer number (635575668).

Almost surely, 244695035648 is an apocalyptic number.

44695035648 is a gapful number since it is divisible by the number (48) 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 44695035648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68642172144).

44695035648 is an abundant number, since it is smaller than the sum of its proper divisors (92589308640).

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

44695035648 is a wasteful number, since it uses less digits than its factorization.

44695035648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7039 (or 7022 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 44695035648 in words is "forty-four billion, six hundred ninety-five million, thirty-five thousand, six hundred forty-eight".