Search a number
-
+
258048778007 = 2741518918143
BaseRepresentation
bin1111000001010011100…
…1111101111100010111
3220200001212022010212102
43300110321331330113
513211440441344012
6314313532512315
724433455264566
oct3602471757427
9820055263772
10258048778007
119a48a8982a9
124201801b69b
131b445750127
14c6bd775bdd
156aa474c2c2
hex3c14e7df17

258048778007 has 8 divisors (see below), whose sum is σ = 258206901120. Its totient is φ = 257890707040.

The previous prime is 258048777971. The next prime is 258048778021. The reversal of 258048778007 is 700877840852.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-258048778007 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258048778037) 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 7 ways as a sum of consecutive naturals, for example, 14213978 + ... + 14232120.

It is an arithmetic number, because the mean of its divisors is an integer number (32275862640).

Almost surely, 2258048778007 is an apocalyptic number.

258048778007 is a deficient number, since it is larger than the sum of its proper divisors (158123113).

258048778007 is a wasteful number, since it uses less digits than its factorization.

258048778007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26073.

The product of its (nonzero) digits is 7024640, while the sum is 56.

The spelling of 258048778007 in words is "two hundred fifty-eight billion, forty-eight million, seven hundred seventy-eight thousand, seven".

Divisors: 1 2741 5189 18143 14223049 49729963 94144027 258048778007