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66045430000 = 245411254583
BaseRepresentation
bin111101100000100111…
…010100100011110000
320022110211010110200001
4331200213110203300
52040230112230000
650201342435344
74525444615024
oct754047244360
9208424113601
1066045430000
1126011a18100
1210972592b54
1362c70711c4
1432a772a384
151ab836146a
hexf609d48f0

66045430000 has 150 divisors (see below), whose sum is σ = 175763918792. Its totient is φ = 24016080000.

The previous prime is 66045429949. The next prime is 66045430007. The reversal of 66045430000 is 3454066.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66045430007) 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 29 ways as a sum of consecutive naturals, for example, 1182709 + ... + 1237291.

Almost surely, 266045430000 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 66045430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87881959396).

66045430000 is an abundant number, since it is smaller than the sum of its proper divisors (109718488792).

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

66045430000 is a wasteful number, since it uses less digits than its factorization.

66045430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54633 (or 54601 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 66045430000 its reverse (3454066), we get a palindrome (66048884066).

The spelling of 66045430000 in words is "sixty-six billion, forty-five million, four hundred thirty 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 1375 1936 2000 2200 2420 2500 2750 3025 4400 4840 5000 5500 6050 6875 9680 10000 11000 12100 13750 15125 22000 24200 27500 30250 48400 54583 55000 60500 75625 109166 110000 121000 151250 218332 242000 272915 302500 436664 545830 600413 605000 873328 1091660 1200826 1210000 1364575 2183320 2401652 2729150 3002065 4366640 4803304 5458300 6004130 6604543 6822875 9606608 10916600 12008260 13209086 13645750 15010325 21833200 24016520 26418172 27291500 30020650 33022715 34114375 48033040 52836344 54583000 60041300 66045430 68228750 75051625 105672688 109166000 120082600 132090860 136457500 150103250 165113575 240165200 264181720 272915000 300206500 330227150 375258125 528363440 545830000 600413000 660454300 750516250 825567875 1200826000 1320908600 1501032500 1651135750 2641817200 3002065000 3302271500 4127839375 6004130000 6604543000 8255678750 13209086000 16511357500 33022715000 66045430000