Search a number
-
+
74202206868 = 22382827397
BaseRepresentation
bin100010100011011001…
…0111101001010010100
321002112021112200000000
41011012302331022110
52203431231104433
654031002451300
75234541231426
oct1050662751224
9232467480000
1074202206868
1129518236309
121246a203b30
136cc6c169aa
14383cb64816
151de44c9113
hex1146cbd294

74202206868 has 54 divisors (see below), whose sum is σ = 194770966026. Its totient is φ = 24734060208.

The previous prime is 74202206809. The next prime is 74202206879. The reversal of 74202206868 is 86860220247.

It can be written as a sum of positive squares in only one way, i.e., 67268647044 + 6933559824 = 259362^2 + 83268^2 .

It is a tau number, because it is divible by the number of its divisors (54).

It is a congruent number.

It is an unprimeable number.

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, 1387455 + ... + 1439942.

Almost surely, 274202206868 is an apocalyptic number.

It is an amenable number.

74202206868 is an abundant number, since it is smaller than the sum of its proper divisors (120568759158).

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

74202206868 is an equidigital number, since it uses as much as digits as its factorization.

74202206868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827425 (or 2827402 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 74202206868 in words is "seventy-four billion, two hundred two million, two hundred six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 13122 26244 2827397 5654794 8482191 11309588 16964382 25446573 33928764 50893146 76339719 101786292 152679438 229019157 305358876 458038314 687057471 916076628 1374114942 2061172413 2748229884 4122344826 6183517239 8244689652 12367034478 18550551717 24734068956 37101103434 74202206868