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6077698144 = 257237104759
BaseRepresentation
bin1011010100100001…
…00101000001100000
3120200120021001111021
411222100211001200
544421342320034
62443030055224
7303416403400
oct55220450140
916616231437
106077698144
11263977a631
1212174aa514
1375b2014bb
14419276800
152588846b4
hex16a425060

6077698144 has 72 divisors (see below), whose sum is σ = 14295340080. Its totient is φ = 2534305536.

The previous prime is 6077698141. The next prime is 6077698177. The reversal of 6077698144 is 4418967706.

It is a junction number, because it is equal to n+sod(n) for n = 6077698091 and 6077698100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6077698141) 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, 5637 + ... + 110395.

It is an arithmetic number, because the mean of its divisors is an integer number (198546390).

Almost surely, 26077698144 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 6077698144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7147670040).

6077698144 is an abundant number, since it is smaller than the sum of its proper divisors (8217641936).

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

6077698144 is a wasteful number, since it uses less digits than its factorization.

6077698144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104820 (or 104805 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The square root of 6077698144 is about 77959.5930210003. The cubic root of 6077698144 is about 1824.9306929582.

The spelling of 6077698144 in words is "six billion, seventy-seven million, six hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 74 98 112 148 196 224 259 296 392 518 592 784 1036 1184 1568 1813 2072 3626 4144 7252 8288 14504 29008 58016 104759 209518 419036 733313 838072 1466626 1676144 2933252 3352288 3876083 5133191 5866504 7752166 10266382 11733008 15504332 20532764 23466016 27132581 31008664 41065528 54265162 62017328 82131056 108530324 124034656 164262112 189928067 217060648 379856134 434121296 759712268 868242592 1519424536 3038849072 6077698144