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44427197520 = 24345174383113
BaseRepresentation
bin101001011000000100…
…010011110001010000
311020200012121110210000
4221120010103301100
51211441330310040
632224245010000
73131642643126
oct513004236120
9136605543700
1044427197520
1117928aa4072
12873a6b3900
134260348a74
142216565916
1512504e4130
hexa58113c50

44427197520 has 800 divisors, whose sum is σ = 170689825152. Its totient is φ = 10664607744.

The previous prime is 44427197491. The next prime is 44427197527. The reversal of 44427197520 is 2579172444.

44427197520 is a `hidden beast` number, since 4 + 442 + 71 + 97 + 52 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44427197527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 393160984 + ... + 393161096.

Almost surely, 244427197520 is an apocalyptic number.

44427197520 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 44427197520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85344912576).

44427197520 is an abundant number, since it is smaller than the sum of its proper divisors (126262627632).

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

44427197520 is a wasteful number, since it uses less digits than its factorization.

44427197520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 44427197520 in words is "forty-four billion, four hundred twenty-seven million, one hundred ninety-seven thousand, five hundred twenty".