Search a number
-
+
67810003344 = 24321825725793
BaseRepresentation
bin111111001001110010…
…101000100110010000
320111000210111002020100
4333021302220212100
52102333330101334
651052415412400
74620252342516
oct771162504620
9214023432210
1067810003344
1126837a85186
1211185524100
136518809245
1433d3c204b6
151b6d21cc99
hexfc9ca8990

67810003344 has 60 divisors (see below), whose sum is σ = 189791581356. Its totient is φ = 22601220096.

The previous prime is 67810003337. The next prime is 67810003357. The reversal of 67810003344 is 44330001876.

It can be written as a sum of positive squares in 2 ways, for example, as 11726290944 + 56083712400 = 108288^2 + 236820^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 67810003299 and 67810003308.

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 11 ways as a sum of consecutive naturals, for example, 2616112 + ... + 2641904.

Almost surely, 267810003344 is an apocalyptic number.

It is an amenable number.

67810003344 is an abundant number, since it is smaller than the sum of its proper divisors (121981578012).

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

67810003344 is a wasteful number, since it uses less digits than its factorization.

67810003344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44064 (or 44055 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 67810003344 in words is "sixty-seven billion, eight hundred ten million, three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 18257 25793 36514 51586 54771 73028 77379 103172 109542 146056 154758 164313 206344 219084 232137 292112 309516 328626 412688 438168 464274 619032 657252 876336 928548 1238064 1314504 1857096 2629008 3714192 470902801 941805602 1412708403 1883611204 2825416806 3767222408 4238125209 5650833612 7534444816 8476250418 11301667224 16952500836 22603334448 33905001672 67810003344