Search a number
-
+
55968624675 = 3452297571259
BaseRepresentation
bin110100000111111111…
…010111000000100011
312100110112211201110000
4310013333113000203
51404110431442200
641413413511043
74020645313605
oct640777270043
9170415751400
1055968624675
1121810914117
12aa1b942483
13537c4a17c2
1429cd2d3175
1516c8881300
hexd07fd7023

55968624675 has 120 divisors (see below), whose sum is σ = 107475152400. Its totient is φ = 28759691520.

The previous prime is 55968624667. The next prime is 55968624703. The reversal of 55968624675 is 57642686955.

It is a happy number.

55968624675 is a `hidden beast` number, since 5 + 5 + 96 + 86 + 2 + 467 + 5 = 666.

It is not a de Polignac number, because 55968624675 - 23 = 55968624667 is a prime.

It is a super-2 number, since 2×559686246752 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 44454196 + ... + 44455454.

It is an arithmetic number, because the mean of its divisors is an integer number (895626270).

Almost surely, 255968624675 is an apocalyptic number.

55968624675 is a deficient number, since it is larger than the sum of its proper divisors (51506527725).

55968624675 is a wasteful number, since it uses less digits than its factorization.

55968624675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2053 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 55968624675 in words is "fifty-five billion, nine hundred sixty-eight million, six hundred twenty-four thousand, six hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 81 87 135 145 225 261 405 435 675 725 757 783 1259 1305 2025 2175 2271 2349 3777 3785 3915 6295 6525 6813 11331 11355 11745 18885 18925 19575 20439 21953 31475 33993 34065 36511 56655 56775 58725 61317 65859 94425 101979 102195 109533 109765 169965 170325 182555 197577 283275 306585 328599 329295 509895 510975 547665 548825 592731 849825 912775 953063 985797 987885 1532925 1642995 1646475 1778193 2549475 2738325 2859189 2957391 2963655 4765315 4928985 4939425 8214975 8577567 8890965 14295945 14786955 14818275 23826575 24644925 25732701 27638827 42887835 44454825 71479725 73934775 77198103 82916481 128663505 138194135 214439175 248749443 385990515 414582405 643317525 690970675 746248329 1243747215 1929952575 2072912025 2238744987 3731241645 6218736075 11193724935 18656208225 55968624675