Search a number
-
+
42680778773256 = 23321324993770241
BaseRepresentation
bin10011011010001011001001…
…01010000101001100001000
312121010020112212010202211200
421231011210222011030020
521043240213331221011
6230435140141024200
711663404325456301
oct1155054452051410
9177106485122750
1042680778773256
11126658a8a28398
1249539a2555060
131aa7a1b051400
14a77a915897a8
154e03595b8856
hex26d164a85308

42680778773256 has 144 divisors (see below), whose sum is σ = 125173880182260. Its totient is φ = 13132097372160.

The previous prime is 42680778773207. The next prime is 42680778773287. The reversal of 42680778773256 is 65237787708624.

42680778773256 is a `hidden beast` number, since 426 + 8 + 0 + 7 + 7 + 87 + 73 + 2 + 56 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 14381038710756 + 28299740062500 = 3792234^2 + 5319750^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 607598296 + ... + 607668536.

Almost surely, 242680778773256 is an apocalyptic number.

It is an amenable number.

42680778773256 is an abundant number, since it is smaller than the sum of its proper divisors (82493101409004).

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

42680778773256 is a wasteful number, since it uses less digits than its factorization.

42680778773256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120216 (or 120196 counting only the distinct ones).

The product of its (nonzero) digits is 1327656960, while the sum is 72.

The spelling of 42680778773256 in words is "forty-two trillion, six hundred eighty billion, seven hundred seventy-eight million, seven hundred seventy-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 49937 70241 99874 140482 149811 199748 210723 280964 299622 399496 421446 449433 561928 599244 632169 649181 842892 898866 913133 1198488 1264338 1298362 1685784 1797732 1826266 1947543 2528676 2596724 2739399 3595464 3652532 3895086 5057352 5193448 5478798 5842629 7305064 7790172 8218197 8439353 10957596 11685258 11870729 15580344 16436394 16878706 21915192 23370516 23741458 25318059 32872788 33757412 35612187 46741032 47482916 50636118 65745576 67514824 71224374 75954177 94965832 101272236 106836561 142448748 151908354 202544472 213673122 284897496 303816708 427346244 607633416 854692488 3507624817 7015249634 10522874451 14030499268 21045748902 28060998536 31568623353 42091497804 45599122621 63137246706 84182995608 91198245242 126274493412 136797367863 182396490484 252548986824 273594735726 364792980968 410392103589 547189471452 592788594073 820784207178 1094378942904 1185577188146 1641568414356 1778365782219 2371154376292 3283136828712 3556731564438 4742308752584 5335097346657 7113463128876 10670194693314 14226926257752 21340389386628 42680778773256