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5771299968 = 273272102241
BaseRepresentation
bin1010101111111111…
…10000110010000000
3112220012201102012200
411113333300302000
543304423044333
62352402553200
7263006145300
oct52777606200
915805642180
105771299968
1124a18260a5
121150968800
1370c8a33c5
143ca6b9600
1523ba0ec13
hex157ff0c80

5771299968 has 144 divisors (see below), whose sum is σ = 19319137110. Its totient is φ = 1648926720.

The previous prime is 5771299943. The next prime is 5771299969. The reversal of 5771299968 is 8699921775.

It can be written as a sum of positive squares in only one way, i.e., 4538447424 + 1232852544 = 67368^2 + 35112^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5771299969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5328 + ... + 107568.

Almost surely, 25771299968 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 5771299968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9659568555).

5771299968 is an abundant number, since it is smaller than the sum of its proper divisors (13547837142).

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

5771299968 is a wasteful number, since it uses less digits than its factorization.

5771299968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102275 (or 102253 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 63.

The square root of 5771299968 is about 75969.0724439887. The cubic root of 5771299968 is about 1793.7333488837.

The spelling of 5771299968 in words is "five billion, seven hundred seventy-one million, two hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 2016 2352 2688 3136 3528 4032 4704 6272 7056 8064 9408 14112 18816 28224 56448 102241 204482 306723 408964 613446 715687 817928 920169 1226892 1431374 1635856 1840338 2147061 2453784 2862748 3271712 3680676 4294122 4907568 5009809 5725496 6441183 6543424 7361352 8588244 9815136 10019618 11450992 12882366 13086848 14722704 15029427 17176488 19630272 20039236 22901984 25764732 29445408 30058854 34352976 39260544 40078472 45088281 45803968 51529464 58890816 60117708 68705952 80156944 90176562 91607936 103058928 117781632 120235416 137411904 160313888 180353124 206117856 240470832 274823808 320627776 360706248 412235712 480941664 641255552 721412496 824471424 961883328 1442824992 1923766656 2885649984 5771299968