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6056453376 = 283319107431
BaseRepresentation
bin1011010001111111…
…00010010100000000
3120122002021201011000
411220333202110000
544400423002001
62440550452000
7303041001321
oct55077422400
916562251130
106056453376
11262878a076
121210364000
137569a362c
14416506448
15256a89a86
hex168fe2500

6056453376 has 288 divisors, whose sum is σ = 19072972800. Its totient is φ = 1890293760.

The previous prime is 6056453363. The next prime is 6056453401. The reversal of 6056453376 is 6733546506.

6056453376 is a `hidden beast` number, since 6 + 0 + 564 + 53 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14051881 + ... + 14052311.

It is an arithmetic number, because the mean of its divisors is an integer number (66225600).

Almost surely, 26056453376 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 6056453376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9536486400).

6056453376 is an abundant number, since it is smaller than the sum of its proper divisors (13016519424).

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

6056453376 is a wasteful number, since it uses less digits than its factorization.

6056453376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The square root of 6056453376 is about 77823.2187460786. The cubic root of 6056453376 is about 1822.8018447030.

The spelling of 6056453376 in words is "six billion, fifty-six million, four hundred fifty-three thousand, three hundred seventy-six".