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258078341224 = 231122912806587
BaseRepresentation
bin1111000001011010101…
…0101111100001101000
3220200010220221002222101
43300112222233201220
513212021023404344
6314320510303144
724434264463664
oct3602652574150
9820126832871
10258078341224
119a4a554a610
1242025ab7ab4
131b44b901362
14c6c366d8a4
156aa713b9d4
hex3c16aaf868

258078341224 has 32 divisors (see below), whose sum is σ = 530192743200. Its totient is φ = 116796064320.

The previous prime is 258078341179. The next prime is 258078341231. The reversal of 258078341224 is 422143870852.

258078341224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6383142 + ... + 6423445.

It is an arithmetic number, because the mean of its divisors is an integer number (16568523225).

Almost surely, 2258078341224 is an apocalyptic number.

It is an amenable number.

258078341224 is an abundant number, since it is smaller than the sum of its proper divisors (272114401976).

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

258078341224 is a wasteful number, since it uses less digits than its factorization.

258078341224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12806833 (or 12806829 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 46.

The spelling of 258078341224 in words is "two hundred fifty-eight billion, seventy-eight million, three hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 229 458 916 1832 2519 5038 10076 20152 12806587 25613174 51226348 102452696 140872457 281744914 563489828 1126979656 2932708423 5865416846 11730833692 23461667384 32259792653 64519585306 129039170612 258078341224