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56069320323025 = 5229211324572
BaseRepresentation
bin11001011111110101001111…
…11010111010111111010001
321100112011201100010002101101
430233322213322322333101
524322114432000314100
6315125520135304401
714544606012103402
oct1457724772727721
9240464640102341
1056069320323025
11169579576641a9
126356739b1b101
132539411455499
14dbbaaba459a9
156737596ec86a
hex32fea7ebafd1

56069320323025 has 81 divisors (see below), whose sum is σ = 72808252689081. Its totient is φ = 42831524628480.

The previous prime is 56069320323019. The next prime is 56069320323053. The reversal of 56069320323025 is 52032302396065.

The square root of 56069320323025 is 7487945.

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

It can be written as a sum of positive squares in 40 ways, for example, as 49080995443089 + 6988324879936 = 7005783^2 + 2643544^2 .

It is not a de Polignac number, because 56069320323025 - 211 = 56069320320977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 122689978597 + ... + 122689979053.

Almost surely, 256069320323025 is an apocalyptic number.

56069320323025 is the 7487945-th square number.

56069320323025 is the 3743973-rd centered octagonal number.

It is an amenable number.

56069320323025 is a deficient number, since it is larger than the sum of its proper divisors (16738932366056).

56069320323025 is an frugal number, since it uses more digits than its factorization.

56069320323025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 46.

The spelling of 56069320323025 in words is "fifty-six trillion, sixty-nine billion, three hundred twenty million, three hundred twenty-three thousand, twenty-five".

Divisors: 1 5 25 29 113 145 457 565 725 841 2285 2825 3277 4205 11425 12769 13253 16385 21025 51641 63845 66265 81925 95033 208849 258205 319225 331325 370301 384337 475165 1044245 1291025 1497589 1851505 1921685 2375825 5221225 5835433 6056621 7487945 9257525 9608425 10738729 23599937 29177165 30283105 37439725 43430081 53693645 117999685 145885825 151415525 169227557 175642009 217150405 268468225 589998425 684398173 846137785 878210045 1085752025 2666792881 3421990865 4230688925 4391050225 4907599153 13333964405 17109954325 19847547017 24537995765 66669822025 77336993549 99237735085 122689978825 386684967745 496188675425 1933424838725 2242772812921 11213864064605 56069320323025