Search a number
-
+
268742400556 = 22740923466853
BaseRepresentation
bin1111101001001001001…
…0111001101000101100
3221200200010020110020211
43322102102321220230
513400341023304211
6323243014152204
725262454466660
oct3722222715054
9850603213224
10268742400556
11a3a78096193
1244101352664
131c45b055c36
14d015a928a0
156ecd46ce21
hex3e924b9a2c

268742400556 has 24 divisors (see below), whose sum is σ = 538798967840. Its totient is φ = 114893707392.

The previous prime is 268742400533. The next prime is 268742400559. The reversal of 268742400556 is 655004247862.

268742400556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (268742400559) 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 7 ways as a sum of consecutive naturals, for example, 11721975 + ... + 11744878.

Almost surely, 2268742400556 is an apocalyptic number.

It is an amenable number.

268742400556 is an abundant number, since it is smaller than the sum of its proper divisors (270056567284).

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

268742400556 is a wasteful number, since it uses less digits than its factorization.

268742400556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23467273 (or 23467271 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 49.

The spelling of 268742400556 in words is "two hundred sixty-eight billion, seven hundred forty-two million, four hundred thousand, five hundred fifty-six".

Divisors: 1 2 4 7 14 28 409 818 1636 2863 5726 11452 23466853 46933706 93867412 164267971 328535942 657071884 9597942877 19195885754 38391771508 67185600139 134371200278 268742400556