Search a number
-
+
256744354032752 = 24236907101009827
BaseRepresentation
bin111010011000000111110100…
…000001010010110001110000
31020200001112001110202120221012
4322120013310001102301300
5232122444414113022002
62310014421124050052
7105036111302322365
oct7230076401226160
91220045043676835
10256744354032752
117489673a5a37a3
1224966938833928
13b034b7261b471
1447586c8c8046c
151ea379aaced52
hexe981f4052c70

256744354032752 has 40 divisors (see below), whose sum is σ = 519145263517056. Its totient is φ = 122772999070656.

The previous prime is 256744354032707. The next prime is 256744354032779. The reversal of 256744354032752 is 257230453447652.

It is a junction number, because it is equal to n+sod(n) for n = 256744354032691 and 256744354032700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47963138 + ... + 53046689.

Almost surely, 2256744354032752 is an apocalyptic number.

It is an amenable number.

256744354032752 is an abundant number, since it is smaller than the sum of its proper divisors (262400909484304).

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

256744354032752 is a wasteful number, since it uses less digits than its factorization.

256744354032752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101016765 (or 101016759 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 59.

The spelling of 256744354032752 in words is "two hundred fifty-six trillion, seven hundred forty-four billion, three hundred fifty-four million, thirty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 23 46 92 184 368 6907 13814 27628 55256 110512 158861 317722 635444 1270888 2541776 101009827 202019654 404039308 808078616 1616157232 2323226021 4646452042 9292904084 18585808168 37171616336 697674875089 1395349750178 2790699500356 5581399000712 11162798001424 16046522127047 32093044254094 64186088508188 128372177016376 256744354032752