Search a number
-
+
260275744205456 = 24721098730216107
BaseRepresentation
bin111011001011100000101011…
…010001101110101010010000
31021010120010012010101120102212
4323023200223101232222100
5233103324211004033311
62321321005355131252
7105552205401450500
oct7313405321565220
91233503163346385
10260275744205456
1175a28361258261
1225237224143b28
13b22cb8867b905
14483b5adcb9a00
152015581b33c8b
hexecb82b46ea90

260275744205456 has 60 divisors (see below), whose sum is σ = 586669788841968. Its totient is φ = 111536591213376.

The previous prime is 260275744205423. The next prime is 260275744205459. The reversal of 260275744205456 is 654502447572062.

It is a junction number, because it is equal to n+sod(n) for n = 260275744205395 and 260275744205404.

It is not an unprimeable number, because it can be changed into a prime (260275744205459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6494246 + ... + 23721861.

Almost surely, 2260275744205456 is an apocalyptic number.

It is an amenable number.

260275744205456 is an abundant number, since it is smaller than the sum of its proper divisors (326394044636512).

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

260275744205456 is a wasteful number, since it uses less digits than its factorization.

260275744205456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30227116 (or 30227103 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 59.

The spelling of 260275744205456 in words is "two hundred sixty trillion, two hundred seventy-five billion, seven hundred forty-four million, two hundred five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 10987 21974 43948 76909 87896 153818 175792 307636 538363 615272 1076726 1230544 2153452 4306904 8613808 30216107 60432214 120864428 211512749 241728856 423025498 483457712 846050996 1480589243 1692101992 2961178486 3384203984 5922356972 11844713944 23689427888 331984367609 663968735218 1327937470436 2323890573263 2655874940872 4647781146526 5311749881744 9295562293052 16267234012841 18591124586104 32534468025682 37182249172208 65068936051364 130137872102728 260275744205456