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57441803328 = 26327131278629
BaseRepresentation
bin110101011111110011…
…000101110001000000
312111021012212221122100
4311133303011301000
51420120100201303
642215521110400
74102314162240
oct653763056100
9174235787570
1057441803328
11223a7445038
12b171188400
135555762850
142accc13b20
151762d7d8a3
hexd5fcc5c40

57441803328 has 336 divisors, whose sum is σ = 204261191680. Its totient is φ = 15028457472.

The previous prime is 57441803317. The next prime is 57441803329. The reversal of 57441803328 is 82330814475.

57441803328 is a `hidden beast` number, since 574 + 41 + 8 + 0 + 3 + 32 + 8 = 666.

57441803328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (57441803329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6652518 + ... + 6661146.

Almost surely, 257441803328 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 57441803328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102130595840).

57441803328 is an abundant number, since it is smaller than the sum of its proper divisors (146819388352).

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

57441803328 is a wasteful number, since it uses less digits than its factorization.

57441803328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8794 (or 8781 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 57441803328 in words is "fifty-seven billion, four hundred forty-one million, eight hundred three thousand, three hundred twenty-eight".