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66550000 = 2455113
BaseRepresentation
bin1111110111011…
…1100011110000
311122020002102211
43331313203300
5114014100000
610334221504
71435444216
oct375674360
9148202384
1066550000
1134625000
121a354894
1310a313ca
148ba4cb6
155c987ba
hex3f778f0

66550000 has 120 divisors (see below), whose sum is σ = 177269904. Its totient is φ = 24200000.

The previous prime is 66549991. The next prime is 66550009. The reversal of 66550000 is 5566.

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 is an interprime number because it is at equal distance from previous prime (66549991) and next prime (66550009).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66550009) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6049995 + ... + 6050005.

Almost surely, 266550000 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 66550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88634952).

66550000 is an abundant number, since it is smaller than the sum of its proper divisors (110719904).

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

66550000 is an frugal number, since it uses more digits than its factorization.

66550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 66550000 is about 8157.8183358052. The cubic root of 66550000 is about 405.2434648504.

Adding to 66550000 its reverse (5566), we get a palindrome (66555566).

The spelling of 66550000 in words is "sixty-six million, five hundred fifty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 625 880 968 1000 1100 1210 1250 1331 1375 1936 2000 2200 2420 2500 2662 2750 3025 3125 4400 4840 5000 5324 5500 6050 6250 6655 6875 9680 10000 10648 11000 12100 12500 13310 13750 15125 21296 22000 24200 25000 26620 27500 30250 33275 34375 48400 50000 53240 55000 60500 66550 68750 75625 106480 110000 121000 133100 137500 151250 166375 242000 266200 275000 302500 332750 378125 532400 550000 605000 665500 756250 831875 1210000 1331000 1512500 1663750 2662000 3025000 3327500 4159375 6050000 6655000 8318750 13310000 16637500 33275000 66550000