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56546462025 = 32528321912
BaseRepresentation
bin110100101010011011…
…101000100101001001
312101221211010220021100
4310222123220211021
51411301343241100
641551014532013
74041162665604
oct645233504511
9171854126240
1056546462025
1121a88004949
12ab61367009
13544210a7b1
142a45d4b33b
15170e472400
hexd2a6e8949

56546462025 has 81 divisors (see below), whose sum is σ = 103055494087. Its totient is φ = 29638768800.

The previous prime is 56546461987. The next prime is 56546462047. The reversal of 56546462025 is 52026464565.

The square root of 56546462025 is 237795.

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

56546462025 is a `hidden beast` number, since 565 + 4 + 6 + 4 + 62 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20356726329 + 36189735696 = 142677^2 + 190236^2 .

It is not a de Polignac number, because 56546462025 - 27 = 56546461897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 296054680 + ... + 296054870.

Almost surely, 256546462025 is an apocalyptic number.

56546462025 is the 237795-th square number.

56546462025 is the 118898-th centered octagonal number.

It is an amenable number.

56546462025 is a deficient number, since it is larger than the sum of its proper divisors (46509032062).

56546462025 is an equidigital number, since it uses as much as digits as its factorization.

56546462025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 56546462025 in words is "fifty-six billion, five hundred forty-six million, four hundred sixty-two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 83 191 225 249 415 573 747 955 1245 1719 2075 2865 3735 4775 6225 6889 8595 14325 15853 18675 20667 34445 36481 42975 47559 62001 79265 103335 109443 142677 172225 182405 237795 310005 328329 396325 516675 547215 713385 912025 1188975 1315799 1550025 1641645 2736075 3027923 3566925 3947397 6578995 8208225 9083769 11842191 15139615 19736985 27251307 32894975 45418845 59210955 75698075 98684925 136256535 227094225 251317609 296054775 681282675 753952827 1256588045 2261858481 3769764135 6282940225 11309292405 18848820675 56546462025