Search a number
-
+
256046746768 = 247123174553
BaseRepresentation
bin1110111001110110010…
…0110100110010010000
3220110220100010102022021
43232131210310302100
513143340431344033
6313343134221224
724333035303041
oct3563544646220
9813810112267
10256046746768
119965279362a
1241759654814
131b1b6a44367
14c56d90c8c8
1569d8ad7b2d
hex3b9d934c90

256046746768 has 30 divisors (see below), whose sum is σ = 503176332662. Its totient is φ = 126220187520.

The previous prime is 256046746757. The next prime is 256046746777. The reversal of 256046746768 is 867647640652.

It is a happy number.

256046746768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 189548778384 + 66497968384 = 435372^2 + 257872^2 .

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 5 ways as a sum of consecutive naturals, for example, 1506621 + ... + 1667932.

Almost surely, 2256046746768 is an apocalyptic number.

It is an amenable number.

256046746768 is a deficient number, since it is larger than the sum of its proper divisors (247129585894).

256046746768 is an equidigital number, since it uses as much as digits as its factorization.

256046746768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174703 (or 3174626 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 61.

The spelling of 256046746768 in words is "two hundred fifty-six billion, forty-six million, seven hundred forty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 71 142 284 568 1136 5041 10082 20164 40328 80656 3174553 6349106 12698212 25396424 50792848 225393263 450786526 901573052 1803146104 3606292208 16002921673 32005843346 64011686692 128023373384 256046746768