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256245542652 = 2231119159763977
BaseRepresentation
bin1110111010100101101…
…1001010111011111100
3220111102012012021222210
43232221123022323330
513144242324331102
6313414555140420
724341001113631
oct3565133127374
9814365167883
10256245542652
1199744a23950
12417b4144710
131b218c99568
14c58c09a188
1569eb2a536c
hex3ba96caefc

256245542652 has 96 divisors (see below), whose sum is σ = 687031591680. Its totient is φ = 73516101120.

The previous prime is 256245542629. The next prime is 256245542687.

256245542652 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3973288 + ... + 4037264.

It is an arithmetic number, because the mean of its divisors is an integer number (7156579080).

Almost surely, 2256245542652 is an apocalyptic number.

256245542652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256245542652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343515795840).

256245542652 is an abundant number, since it is smaller than the sum of its proper divisors (430786049028).

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

256245542652 is a wasteful number, since it uses less digits than its factorization.

256245542652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65611 (or 65609 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 48.

It can be divided in two parts, 256245 and 542652, that added together give a palindrome (798897).

The spelling of 256245542652 in words is "two hundred fifty-six billion, two hundred forty-five million, five hundred forty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 1597 2508 3194 4791 6388 9582 17567 19164 30343 35134 52701 60686 63977 70268 91029 105402 121372 127954 182058 191931 210804 255908 333773 364116 383862 667546 703747 767724 1001319 1215563 1335092 1407494 2002638 2111241 2431126 2814988 3646689 4005276 4222482 4862252 7293378 8444964 13371193 14586756 26742386 40113579 53484772 80227158 102171269 160454316 204342538 306513807 408685076 613027614 1123883959 1226055228 1941254111 2247767918 3371651877 3882508222 4495535836 5823762333 6743303754 7765016444 11647524666 13486607508 21353795221 23295049332 42707590442 64061385663 85415180884 128122771326 256245542652