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44394577920 = 2153257111723
BaseRepresentation
bin101001010110000111…
…111000000000000000
311020120221020020002200
4221112013320000000
51211410002443140
632221121513200
73131065454220
oct512607700000
9136527206080
1044394577920
1117911644520
12872b7a2800
134256667624
1422120b4080
15124c6ee030
hexa561f8000

44394577920 has 1536 divisors, whose sum is σ = 211993666560. Its totient is φ = 8304721920.

The previous prime is 44394577859. The next prime is 44394577979. The reversal of 44394577920 is 2977549344.

44394577920 is a `hidden beast` number, since 4 + 43 + 9 + 4 + 577 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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, 1930199029 + ... + 1930199051.

It is an arithmetic number, because the mean of its divisors is an integer number (138016710).

Almost surely, 244394577920 is an apocalyptic number.

44394577920 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 44394577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105996833280).

44394577920 is an abundant number, since it is smaller than the sum of its proper divisors (167599088640).

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

44394577920 is a wasteful number, since it uses less digits than its factorization.

44394577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 44394577920 in words is "forty-four billion, three hundred ninety-four million, five hundred seventy-seven thousand, nine hundred twenty".