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258828242828852 = 22233498061176119
BaseRepresentation
bin111010110110011100100101…
…011110001011111000110100
31020221102201221021011211021102
4322312130211132023320310
5232411120220131010402
62314252015301105232
7105342503066661134
oct7266344536137064
91227381837154242
10258828242828852
117551a494490734
12250427929b8218
13b156524871a08
1447cb4d4b52ac4
151edcab3687102
hexeb672578be34

258828242828852 has 24 divisors (see below), whose sum is σ = 473997155856000. Its totient is φ = 123432728718816.

The previous prime is 258828242828851. The next prime is 258828242828941.

258828242828852 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2588282428288523 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 258828242828852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258828242828851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4030555952 + ... + 4030620167.

It is an arithmetic number, because the mean of its divisors is an integer number (19749881494000).

Almost surely, 2258828242828852 is an apocalyptic number.

It is an amenable number.

258828242828852 is a deficient number, since it is larger than the sum of its proper divisors (215168913027148).

258828242828852 is a wasteful number, since it uses less digits than its factorization.

258828242828852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8061176495 (or 8061176493 counting only the distinct ones).

The product of its digits is 1677721600, while the sum is 74.

The spelling of 258828242828852 in words is "two hundred fifty-eight trillion, eight hundred twenty-eight billion, two hundred forty-two million, eight hundred twenty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 4 23 46 92 349 698 1396 8027 16054 32108 8061176119 16122352238 32244704476 185407050737 370814101474 741628202948 2813350465531 5626700931062 11253401862124 64707060707213 129414121414426 258828242828852