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6057255096 = 2332475333773
BaseRepresentation
bin1011010010000101…
…00110000010111000
3120122010210102220100
411221002212002320
544401124130341
62441015555400
7303050550564
oct55102460270
916563712810
106057255096
112629187452
12121068bb60
13756bc4519
144166746a4
15256b973b6
hex1690a60b8

6057255096 has 96 divisors (see below), whose sum is σ = 17070730560. Its totient is φ = 1938782976.

The previous prime is 6057255059. The next prime is 6057255097. The reversal of 6057255096 is 6905527506.

6057255096 is a `hidden beast` number, since 6 + 0 + 5 + 7 + 2 + 550 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6057255097) 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 23 ways as a sum of consecutive naturals, for example, 162466 + ... + 196238.

It is an arithmetic number, because the mean of its divisors is an integer number (177820110).

Almost surely, 26057255096 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 6057255096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8535365280).

6057255096 is an abundant number, since it is smaller than the sum of its proper divisors (11013475464).

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

6057255096 is a wasteful number, since it uses less digits than its factorization.

6057255096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33885 (or 33878 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 6057255096 is about 77828.3694805435. The cubic root of 6057255096 is about 1822.8822719831.

The spelling of 6057255096 in words is "six billion, fifty-seven million, two hundred fifty-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 53 72 94 106 141 159 188 212 282 318 376 423 424 477 564 636 846 954 1128 1272 1692 1908 2491 3384 3816 4982 7473 9964 14946 19928 22419 29892 33773 44838 59784 67546 89676 101319 135092 179352 202638 270184 303957 405276 607914 810552 1215828 1587331 1789969 2431656 3174662 3579938 4761993 5369907 6349324 7159876 9523986 10739814 12698648 14285979 14319752 16109721 19047972 21479628 28571958 32219442 38095944 42959256 57143916 64438884 84128543 114287832 128877768 168257086 252385629 336514172 504771258 673028344 757156887 1009542516 1514313774 2019085032 3028627548 6057255096