Search a number
-
+
256724640304305 = 35178836971139263
BaseRepresentation
bin111010010111110101011100…
…111111011000110010110001
31020122222122011120220102102120
4322113311130333120302301
5232122134030404214210
62310001401022304453
7105034512624356415
oct7227653477306261
91218878146812376
10256724640304305
1174889343721838
1224962b56728129
13b0330503459a4
1447577789d6d45
151ea2ee5060270
hexe97d5cfd8cb1

256724640304305 has 32 divisors (see below), whose sum is σ = 434922617493504. Its totient is φ = 128865442861056.

The previous prime is 256724640304243. The next prime is 256724640304343. The reversal of 256724640304305 is 503403046427652.

It is not a de Polignac number, because 256724640304305 - 28 = 256724640304049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224773104 + ... + 225912366.

It is an arithmetic number, because the mean of its divisors is an integer number (13591331796672).

Almost surely, 2256724640304305 is an apocalyptic number.

It is an amenable number.

256724640304305 is a deficient number, since it is larger than the sum of its proper divisors (178197977189199).

256724640304305 is a wasteful number, since it uses less digits than its factorization.

256724640304305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022985.

The product of its (nonzero) digits is 14515200, while the sum is 51.

The spelling of 256724640304305 in words is "two hundred fifty-six trillion, seven hundred twenty-four billion, six hundred forty million, three hundred four thousand, three hundred five".

Divisors: 1 3 5 15 17 51 85 255 883697 1139263 2651091 3417789 4418485 5696315 13255455 15022849 17088945 19367471 45068547 58102413 75114245 96837355 225342735 290512065 1006763295311 3020289885933 5033816476555 15101449429665 17114976020287 51344928060861 85574880101435 256724640304305