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56292203648 = 276723132
BaseRepresentation
bin110100011011010001…
…101101110010000000
312101022002201020100102
4310123101231302000
51410241301004043
641505453141532
74031654556542
oct643321556200
9171262636312
1056292203648
112196753285a
12aab018a8a8
135401536a55
142a20283692
1516e6e9b6b8
hexd1b46dc80

56292203648 has 72 divisors (see below), whose sum is σ = 114208285905. Its totient is φ = 27637429248.

The previous prime is 56292203629. The next prime is 56292203663. The reversal of 56292203648 is 84630229265.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 32627919424 + 23664284224 = 180632^2 + 153832^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=167768.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 179847140 + ... + 179847452.

Almost surely, 256292203648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56292203648

56292203648 is an abundant number, since it is smaller than the sum of its proper divisors (57916082257).

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

56292203648 is an frugal number, since it uses more digits than its factorization.

56292203648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 56292203648 in words is "fifty-six billion, two hundred ninety-two million, two hundred three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 313 536 626 1072 1252 2144 2504 4288 4489 5008 8576 8978 10016 17956 20032 20971 35912 40064 41942 71824 83884 97969 143648 167768 195938 287296 335536 391876 574592 671072 783752 1342144 1405057 1567504 2684288 2810114 3135008 5620228 6270016 6563923 11240456 12540032 13127846 22480912 26255692 44961824 52511384 89923648 105022768 179847296 210045536 420091072 439782841 840182144 879565682 1759131364 3518262728 7036525456 14073050912 28146101824 56292203648