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25861785856 = 28192234
BaseRepresentation
bin11000000101011110…
…111000100100000000
32110202100111211202121
4120011132320210000
5410431104121411
615514123454024
71603610360404
oct300536704400
973670454677
1025861785856
11aa71338545
125019087314
132591c4018a
1413749d7104
15a156a1571
hex6057b8900

25861785856 has 135 divisors (see below), whose sum is σ = 56958993651. Its totient is φ = 11717697024.

The previous prime is 25861785839. The next prime is 25861785889. The reversal of 25861785856 is 65858716852.

The square root of 25861785856 is 160816.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 25861785794 and 25861785803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1124425461 + ... + 1124425483.

Almost surely, 225861785856 is an apocalyptic number.

25861785856 is the 160816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25861785856

25861785856 is an abundant number, since it is smaller than the sum of its proper divisors (31097207795).

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

25861785856 is an frugal number, since it uses more digits than its factorization.

25861785856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 44 counting only the distinct ones).

The product of its digits is 32256000, while the sum is 61.

The spelling of 25861785856 in words is "twenty-five billion, eight hundred sixty-one million, seven hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 256 304 361 368 437 529 608 722 736 874 1058 1216 1444 1472 1748 2116 2432 2888 2944 3496 4232 4864 5776 5888 6992 8303 8464 10051 11552 12167 13984 16606 16928 20102 23104 24334 27968 33212 33856 40204 46208 48668 55936 66424 67712 80408 92416 97336 111872 132848 135424 160816 190969 194672 231173 265696 279841 321632 381938 389344 462346 531392 559682 643264 763876 778688 924692 1062784 1119364 1286528 1527752 1557376 1849384 2125568 2238728 2573056 3055504 3114752 3698768 4392287 4477456 5316979 6111008 7397536 8784574 8954912 10633958 12222016 14795072 17569148 17909824 21267916 24444032 29590144 35138296 35819648 42535832 48888064 59180288 70276592 71639296 85071664 101022601 140553184 170143328 202045202 281106368 340286656 404090404 562212736 680573312 808180808 1124425472 1361146624 1616361616 3232723232 6465446464 12930892928 25861785856