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2066168760 = 233541419953
BaseRepresentation
bin111101100100111…
…0011101110111000
312022222212020200220
41323021303232320
513212414400020
6541005100040
7102126100425
oct17311635670
95288766626
102066168760
11970331197
12497b57620
1326c0a4086
141585a0d4c
15c15d3240
hex7b273bb8

2066168760 has 64 divisors (see below), whose sum is σ = 6349704480. Its totient is φ = 537538560.

The previous prime is 2066168747. The next prime is 2066168777. The reversal of 2066168760 is 678616602.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205057 + ... + 214896.

Almost surely, 22066168760 is an apocalyptic number.

2066168760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2066168760 is an abundant number, since it is smaller than the sum of its proper divisors (4283535720).

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

2066168760 is a wasteful number, since it uses less digits than its factorization.

2066168760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420008 (or 420004 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 2066168760 is about 45455.1290835259. The cubic root of 2066168760 is about 1273.6651435260.

The spelling of 2066168760 in words is "two billion, sixty-six million, one hundred sixty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 419953 839906 1259859 1679812 2099765 2519718 3359624 4199530 5039436 6299295 8399060 10078872 12598590 16798120 17218073 25197180 34436146 50394360 51654219 68872292 86090365 103308438 137744584 172180730 206616876 258271095 344361460 413233752 516542190 688722920 1033084380 2066168760