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6050378880 = 2732572131797
BaseRepresentation
bin1011010001010000…
…10111010010000000
3120121122212002111200
411220220113102000
544342344111010
62440212341200
7302635241400
oct55050272200
916548762450
106050378880
112625310227
12120a314800
13755657760
144157a4800
15256289cc0
hex168a17480

6050378880 has 1152 divisors, whose sum is σ = 27998596080. Its totient is φ = 1189085184.

The previous prime is 6050378849. The next prime is 6050378881. The reversal of 6050378880 is 888730506.

6050378880 is a `hidden beast` number, since 60 + 503 + 7 + 8 + 8 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2165599296 + 3884779584 = 46536^2 + 62328^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (6050378881) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62374992 + ... + 62375088.

Almost surely, 26050378880 is an apocalyptic number.

6050378880 is a gapful number since it is divisible by the number (60) 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 6050378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13999298040).

6050378880 is an abundant number, since it is smaller than the sum of its proper divisors (21948217200).

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

6050378880 is a wasteful number, since it uses less digits than its factorization.

6050378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 6050378880 is about 77784.1814252744. The cubic root of 6050378880 is about 1822.1922301451.

The spelling of 6050378880 in words is "six billion, fifty million, three hundred seventy-eight thousand, eight hundred eighty".