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258145713319 = 1334956897887
BaseRepresentation
bin1111000001101010101…
…1101111110010100111
3220200022121200222010011
43300122223233302213
513212140300311234
6314331314311051
724436043234044
oct3603253576247
9820277628104
10258145713319
119a52a58622a
1242044588487
131b45c85c9c0
14c6cc5aa1cb
156aacee8b64
hex3c1aaefca7

258145713319 has 8 divisors (see below), whose sum is σ = 278799651200. Its totient is φ = 237605571936.

The previous prime is 258145713313. The next prime is 258145713349. The reversal of 258145713319 is 913317541852.

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

It is a cyclic number.

It is not a de Polignac number, because 258145713319 - 27 = 258145713191 is a prime.

It is a super-2 number, since 2×2581457133192 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258145713313) 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, 28444407 + ... + 28453480.

It is an arithmetic number, because the mean of its divisors is an integer number (34849956400).

Almost surely, 2258145713319 is an apocalyptic number.

258145713319 is a deficient number, since it is larger than the sum of its proper divisors (20653937881).

258145713319 is a wasteful number, since it uses less digits than its factorization.

258145713319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56898249.

The product of its digits is 907200, while the sum is 49.

The spelling of 258145713319 in words is "two hundred fifty-eight billion, one hundred forty-five million, seven hundred thirteen thousand, three hundred nineteen".

Divisors: 1 13 349 4537 56897887 739672531 19857362563 258145713319