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258142118607 = 32238312036281
BaseRepresentation
bin1111000001101001111…
…0000010001011001111
3220200022100221100002200
43300122132002023033
513212133340243412
6314331105252543
724436000542612
oct3603236021317
9820270840080
10258142118607
119a52855049a
1242043334153
131b45bba1759
14c6cbd12179
156aaca389dc
hex3c1a7822cf

258142118607 has 12 divisors (see below), whose sum is σ = 373028451744. Its totient is φ = 172022513760.

The previous prime is 258142118561. The next prime is 258142118651. The reversal of 258142118607 is 706811241852.

258142118607 is a `hidden beast` number, since 2 + 5 + 8 + 1 + 4 + 21 + 18 + 607 = 666.

258142118607 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 258142118607 - 212 = 258142114511 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258142118657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5996694 + ... + 6039587.

It is an arithmetic number, because the mean of its divisors is an integer number (31085704312).

Almost surely, 2258142118607 is an apocalyptic number.

258142118607 is a deficient number, since it is larger than the sum of its proper divisors (114886333137).

258142118607 is a wasteful number, since it uses less digits than its factorization.

258142118607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12038670 (or 12038667 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 258142118607 in words is "two hundred fifty-eight billion, one hundred forty-two million, one hundred eighteen thousand, six hundred seven".

Divisors: 1 3 9 2383 7149 21447 12036281 36108843 108326529 28682457623 86047372869 258142118607