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6054946848 = 2532171236713
BaseRepresentation
bin1011010001110011…
…10010100000100000
3120121222110011120200
411220321302200200
544400031244343
62440454305200
7303022125156
oct55071624040
916558404520
106054946848
112627950205
12120b958200
137565969b2
144162333d6
1525688d4d3
hex168e72820

6054946848 has 72 divisors (see below), whose sum is σ = 18231637788. Its totient is φ = 1899589632.

The previous prime is 6054946841. The next prime is 6054946853. The reversal of 6054946848 is 8486494506.

It can be written as a sum of positive squares in 2 ways, for example, as 4514227344 + 1540719504 = 67188^2 + 39252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 6054946794 and 6054946803.

It is not an unprimeable number, because it can be changed into a prime (6054946841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 613461 + ... + 623252.

Almost surely, 26054946848 is an apocalyptic number.

6054946848 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

6054946848 is an abundant number, since it is smaller than the sum of its proper divisors (12176690940).

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

6054946848 is a wasteful number, since it uses less digits than its factorization.

6054946848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236746 (or 1236735 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 6054946848 is about 77813.5389761962. The cubic root of 6054946848 is about 1822.6506929989.

The spelling of 6054946848 in words is "six billion, fifty-four million, nine hundred forty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 1236713 2473426 3710139 4946852 7420278 9893704 11130417 14840556 19787408 21024121 22260834 29681112 39574816 42048242 44521668 59362224 63072363 84096484 89043336 118724448 126144726 168192968 178086672 189217089 252289452 336385936 356173344 378434178 504578904 672771872 756868356 1009157808 1513736712 2018315616 3027473424 6054946848