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41483280384 = 21335713229
BaseRepresentation
bin100110101000100110…
…001010000000000000
310222002001002222200000
4212220212022000000
51134424204433014
631020202400000
72665665031260
oct465046120000
9128061088600
1041483280384
11166582595a7
128058800000
133bb146c570
14201759b7a0
15112bd2c509
hex9a898a000

41483280384 has 672 divisors, whose sum is σ = 153617493120. Its totient is φ = 10892869632.

The previous prime is 41483280341. The next prime is 41483280427. The reversal of 41483280384 is 48308238414.

It is a happy number.

41483280384 is a `hidden beast` number, since 414 + 83 + 2 + 80 + 3 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (41483280341) and next prime (41483280427).

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181149582 + ... + 181149810.

It is an arithmetic number, because the mean of its divisors is an integer number (228597460).

Almost surely, 241483280384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41483280384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76808746560).

41483280384 is an abundant number, since it is smaller than the sum of its proper divisors (112134212736).

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

41483280384 is an equidigital number, since it uses as much as digits as its factorization.

41483280384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 41483280384 in words is "forty-one billion, four hundred eighty-three million, two hundred eighty thousand, three hundred eighty-four".