Search a number
-
+
256744353523260 = 223517251710150513
BaseRepresentation
bin111010011000000111110011…
…111111010110011000111100
31020200001112001102210201001010
4322120013303333112120330
5232122444414000221020
62310014421105115220
7105036111265101111
oct7230076377263074
91220045042721033
10256744353523260
117489673a285a29
1224966938628b10
13b034b724a05a5
1447586c8b8a908
151ea379aa2dde0
hexe981f3fd663c

256744353523260 has 48 divisors (see below), whose sum is σ = 761171495154336. Its totient is φ = 64437798531072.

The previous prime is 256744353523249. The next prime is 256744353523261. The reversal of 256744353523260 is 62325353447652.

It is a super-2 number, since 2×2567443535232602 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 256744353523260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256744353523261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125855074237 + ... + 125855076276.

It is an arithmetic number, because the mean of its divisors is an integer number (15857739482382).

Almost surely, 2256744353523260 is an apocalyptic number.

256744353523260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256744353523260 is an abundant number, since it is smaller than the sum of its proper divisors (504427141631076).

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

256744353523260 is a wasteful number, since it uses less digits than its factorization.

256744353523260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251710150542 (or 251710150540 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 57.

The spelling of 256744353523260 in words is "two hundred fifty-six trillion, seven hundred forty-four billion, three hundred fifty-three million, five hundred twenty-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 251710150513 503420301026 755130451539 1006840602052 1258550752565 1510260903078 2517101505130 3020521806156 3775652257695 4279072558721 5034203010260 7551304515390 8558145117442 12837217676163 15102609030780 17116290234884 21395362793605 25674435352326 42790725587210 51348870704652 64186088380815 85581451174420 128372176761630 256744353523260