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66098544 = 2434783353
BaseRepresentation
bin1111110000100…
…1010101110000
311121101011011020
43330021111300
5113410123134
610320415440
71431554061
oct374112560
9147334136
1066098544
11343468a6
121a177580
1310903a85
148ac8568
155c09b49
hex3f09570

66098544 has 80 divisors (see below), whose sum is σ = 176988672. Its totient is φ = 21243904.

The previous prime is 66098537. The next prime is 66098597. The reversal of 66098544 is 44589066.

66098544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×660985443 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66098496 and 66098505.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 187072 + ... + 187424.

Almost surely, 266098544 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 66098544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88494336).

66098544 is an abundant number, since it is smaller than the sum of its proper divisors (110890128).

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

66098544 is a wasteful number, since it uses less digits than its factorization.

66098544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 66098544 is about 8130.1011063824. The cubic root of 66098544 is about 404.3250333339.

The spelling of 66098544 in words is "sixty-six million, ninety-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 83 94 141 166 188 249 282 332 353 376 498 564 664 706 752 996 1059 1128 1328 1412 1992 2118 2256 2824 3901 3984 4236 5648 7802 8472 11703 15604 16591 16944 23406 29299 31208 33182 46812 49773 58598 62416 66364 87897 93624 99546 117196 132728 175794 187248 199092 234392 265456 351588 398184 468784 703176 796368 1377053 1406352 2754106 4131159 5508212 8262318 11016424 16524636 22032848 33049272 66098544