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6060050496 = 263228137441
BaseRepresentation
bin1011010010011010…
…10000100001000000
3120122100001110110200
411221031100201000
544402333103441
62441155525200
7303113402463
oct55115204100
916570043420
106060050496
11262a8166a5
1212115b9800
137576629c6
14416ba12da
1525704a7b6
hex169350840

6060050496 has 84 divisors (see below), whose sum is σ = 17432321244. Its totient is φ = 2012774400.

The previous prime is 6060050489. The next prime is 6060050497. The reversal of 6060050496 is 6940500606.

It is a happy number.

6060050496 is a `hidden beast` number, since 6 + 0 + 60 + 0 + 504 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3672360000 + 2387690496 = 60600^2 + 48864^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6060050496.

It is not an unprimeable number, because it can be changed into a prime (6060050497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143136 + ... + 180576.

Almost surely, 26060050496 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 6060050496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8716160622).

6060050496 is an abundant number, since it is smaller than the sum of its proper divisors (11372270748).

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

6060050496 is a wasteful number, since it uses less digits than its factorization.

6060050496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37740 (or 37727 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6060050496 is about 77846.3261560878. The cubic root of 6060050496 is about 1823.1626465831.

The spelling of 6060050496 in words is "six billion, sixty million, fifty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 281 288 562 576 843 1124 1686 2248 2529 3372 4496 5058 6744 8992 10116 13488 17984 20232 26976 37441 40464 53952 74882 80928 112323 149764 161856 224646 299528 336969 449292 599056 673938 898584 1198112 1347876 1797168 2396224 2695752 3594336 5391504 7188672 10520921 10783008 21041842 21566016 31562763 42083684 63125526 84167368 94688289 126251052 168334736 189376578 252502104 336669472 378753156 505004208 673338944 757506312 1010008416 1515012624 2020016832 3030025248 6060050496