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44268850080 = 25335721316087
BaseRepresentation
bin101001001110101000…
…010000101110100000
311020021011122120221000
4221032220100232200
51211130311200310
632200431032000
73125011005600
oct511650205640
9136234576830
1044268850080
1117857680314
1286b566b600
1342365b6560
1421dd506c00
1512416664c0
hexa4ea10ba0

44268850080 has 576 divisors, whose sum is σ = 194113946880. Its totient is φ = 9339660288.

The previous prime is 44268850027. The next prime is 44268850103. The reversal of 44268850080 is 8005886244.

44268850080 is a `hidden beast` number, since 4 + 4 + 2 + 68 + 8 + 500 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2743797 + ... + 2759883.

It is an arithmetic number, because the mean of its divisors is an integer number (337003380).

Almost surely, 244268850080 is an apocalyptic number.

44268850080 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 44268850080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97056973440).

44268850080 is an abundant number, since it is smaller than the sum of its proper divisors (149845096800).

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

44268850080 is a wasteful number, since it uses less digits than its factorization.

44268850080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16138 (or 16117 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 44268850080 in words is "forty-four billion, two hundred sixty-eight million, eight hundred fifty thousand, eighty".