Search a number
-
+
57124706768 = 245367364041
BaseRepresentation
bin110101001100111001…
…011101100111010000
312110110010012202221022
4311030321131213100
51413442411104033
642124232415012
74061413665413
oct651471354720
9173403182838
1057124706768
1122254453768
12b0a2b47468
135504b5a04c
142a9ca6db7a
1517450e4098
hexd4ce5d9d0

57124706768 has 20 divisors (see below), whose sum is σ = 112767406308. Its totient is φ = 28023440640.

The previous prime is 57124706761. The next prime is 57124706777. The reversal of 57124706768 is 86760742175.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 44381006224 + 12743700544 = 210668^2 + 112888^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57124706761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33681173 + ... + 33682868.

Almost surely, 257124706768 is an apocalyptic number.

It is an amenable number.

57124706768 is a deficient number, since it is larger than the sum of its proper divisors (55642699540).

57124706768 is a wasteful number, since it uses less digits than its factorization.

57124706768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67364102 (or 67364096 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 53.

The spelling of 57124706768 in words is "fifty-seven billion, one hundred twenty-four million, seven hundred six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 53 106 212 424 848 67364041 134728082 269456164 538912328 1077824656 3570294173 7140588346 14281176692 28562353384 57124706768