Search a number
-
+
256686397149 = 3731329715217
BaseRepresentation
bin1110111100001110110…
…0111001011011011101
3220112112220202000200010
43233003230321123131
513201143204202044
6313530424153433
724354633243000
oct3570354713335
9815486660603
10256686397149
1199950863406
12418b7908879
131b289413600
14c5d0857537
156a24d38bb9
hex3bc3b396dd

256686397149 has 96 divisors (see below), whose sum is σ = 436671379200. Its totient is φ = 133990391808.

The previous prime is 256686397147. The next prime is 256686397183. The reversal of 256686397149 is 941793686652.

It is not a de Polignac number, because 256686397149 - 21 = 256686397147 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 256686397149.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256686397147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16860789 + ... + 16876005.

It is an arithmetic number, because the mean of its divisors is an integer number (4548660200).

Almost surely, 2256686397149 is an apocalyptic number.

It is an amenable number.

256686397149 is a deficient number, since it is larger than the sum of its proper divisors (179984982051).

256686397149 is a wasteful number, since it uses less digits than its factorization.

256686397149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15364 (or 15337 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 66.

The spelling of 256686397149 in words is "two hundred fifty-six billion, six hundred eighty-six million, three hundred ninety-seven thousand, one hundred forty-nine".

Divisors: 1 3 7 13 21 39 49 91 97 147 169 273 291 343 507 637 679 1029 1183 1261 1911 2037 3549 3783 4459 4753 8281 8827 13377 14259 15217 16393 24843 26481 33271 45651 49179 57967 61789 99813 106519 114751 173901 185367 197821 319557 344253 432523 593463 745633 803257 1297569 1384747 1476049 2236899 2409771 2571673 4154241 4428147 5219431 5622799 7715019 9693229 10332343 15658293 16868397 18001711 19188637 29079687 30997029 54005133 57565911 67852603 72326401 126011977 134320459 203557809 216979203 249452281 378035931 402961377 506284807 748356843 882083839 940243213 1518854421 1746165967 2646251517 2820729639 5238497901 6581702491 12223161769 19745107473 36669485307 85562132383 256686397149