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258078415296 = 26313103396801
BaseRepresentation
bin1111000001011010101…
…1000001100111000000
3220200010221001212120210
43300112223001213000
513212021033242141
6314320512034120
724434265222642
oct3602653014700
9820127055523
10258078415296
119a4a55a0229
1242025b32940
131b44b928ca0
14c6c368c892
156aa7153916
hex3c16ac19c0

258078415296 has 56 divisors (see below), whose sum is σ = 735358055824. Its totient is φ = 79408742400.

The previous prime is 258078415241. The next prime is 258078415307. The reversal of 258078415296 is 692514870852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51695905 + ... + 51700896.

It is an arithmetic number, because the mean of its divisors is an integer number (13131393854).

Almost surely, 2258078415296 is an apocalyptic number.

258078415296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

258078415296 is an abundant number, since it is smaller than the sum of its proper divisors (477279640528).

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

258078415296 is a wasteful number, since it uses less digits than its factorization.

258078415296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103396829 (or 103396819 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 57.

The spelling of 258078415296 in words is "two hundred fifty-eight billion, seventy-eight million, four hundred fifteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 103396801 206793602 310190403 413587204 620380806 827174408 1240761612 1344158413 1654348816 2481523224 2688316826 3308697632 4032475239 4963046448 5376633652 6617395264 8064950478 9926092896 10753267304 16129900956 19852185792 21506534608 32259801912 43013069216 64519603824 86026138432 129039207648 258078415296