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260542121056 = 2572977612251
BaseRepresentation
bin1111001010100110000…
…1010100010001100000
3220220111121222002112021
43302221201110101200
513232042240333211
6315405201511224
724552322326400
oct3625141242140
9826447862467
10260542121056
11a054a264898
12425b3042514
131b75218b549
14c878972800
156b9d5b0771
hex3ca9854460

260542121056 has 144 divisors (see below), whose sum is σ = 603899734032. Its totient is φ = 110315520000.

The previous prime is 260542121053. The next prime is 260542121083. The reversal of 260542121056 is 650121245062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260542121053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115743931 + ... + 115746181.

It is an arithmetic number, because the mean of its divisors is an integer number (4193748153).

Almost surely, 2260542121056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260542121056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301949867016).

260542121056 is an abundant number, since it is smaller than the sum of its proper divisors (343357612976).

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

260542121056 is a wasteful number, since it uses less digits than its factorization.

260542121056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 260542121056 in words is "two hundred sixty billion, five hundred forty-two million, one hundred twenty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 97 98 112 194 196 224 388 392 679 761 776 784 1358 1522 1552 1568 2251 2716 3044 3104 4502 4753 5327 5432 6088 9004 9506 10654 10864 12176 15757 18008 19012 21308 21728 24352 31514 36016 37289 38024 42616 63028 72032 73817 74578 76048 85232 110299 126056 147634 149156 152096 170464 218347 220598 252112 295268 298312 436694 441196 504224 516719 590536 596624 873388 882392 1033438 1181072 1193248 1528429 1713011 1746776 1764784 2066876 2362144 3056858 3426022 3493552 3529568 3617033 4133752 6113716 6852044 6987104 7234066 8267504 10699003 11991077 12227432 13704088 14468132 16535008 21398006 23982154 24454864 27408176 28936264 42796012 47964308 48909728 54816352 57872528 83937539 85592024 95928616 115745056 166162067 167875078 171184048 191857232 332324134 335750156 342368096 383714464 664648268 671500312 1163134469 1329296536 1343000624 2326268938 2658593072 2686001248 4652537876 5317186144 8141941283 9305075752 16283882566 18610151504 32567765132 37220303008 65135530264 130271060528 260542121056