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6056635968 = 2632173773229
BaseRepresentation
bin1011010010000000…
…01110111001000000
3120122002121222121200
411221000032321000
544400444322333
62440554421200
7303042361545
oct55100167100
916562558550
106056635968
1126288a4279
121210431800
13756a38786
14416552bcc
15256ac3c13
hex16900ee40

6056635968 has 336 divisors, whose sum is σ = 19220413680. Its totient is φ = 1815478272.

The previous prime is 6056635961. The next prime is 6056635987. The reversal of 6056635968 is 8695366506.

It can be written as a sum of positive squares in 8 ways, for example, as 2331730944 + 3724905024 = 48288^2 + 61032^2 .

It is not an unprimeable number, because it can be changed into a prime (6056635961) 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, 26448078 + ... + 26448306.

Almost surely, 26056635968 is an apocalyptic number.

6056635968 is a gapful number since it is divisible by the number (68) 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 6056635968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9610206840).

6056635968 is an abundant number, since it is smaller than the sum of its proper divisors (13163777712).

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

6056635968 is a wasteful number, since it uses less digits than its factorization.

6056635968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The square root of 6056635968 is about 77824.3918575661. The cubic root of 6056635968 is about 1822.8201626672.

The spelling of 6056635968 in words is "six billion, fifty-six million, six hundred thirty-five thousand, nine hundred sixty-eight".