Search a number
-
+
42166280646 = 2347344910781
BaseRepresentation
bin100111010001010011…
…100110000111000110
311000211122021222220000
4213101103212013012
51142324031440041
631212041422130
73021630320550
oct472123460706
9130748258800
1042166280646
1116978847826
12820949a946
133c8cb09029
14208018c4d0
15116bc92bb6
hex9d14e61c6

42166280646 has 80 divisors (see below), whose sum is σ = 108022701600. Its totient is φ = 12042898560.

The previous prime is 42166280641. The next prime is 42166280671. The reversal of 42166280646 is 64608266124.

42166280646 is a `hidden beast` number, since 4 + 2 + 16 + 628 + 0 + 6 + 4 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42166280641) 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 39 ways as a sum of consecutive naturals, for example, 3905776 + ... + 3916556.

It is an arithmetic number, because the mean of its divisors is an integer number (1350283770).

Almost surely, 242166280646 is an apocalyptic number.

42166280646 is an abundant number, since it is smaller than the sum of its proper divisors (65856420954).

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

42166280646 is a wasteful number, since it uses less digits than its factorization.

42166280646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14251 (or 14242 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 42166280646 in words is "forty-two billion, one hundred sixty-six million, two hundred eighty thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 3449 6898 10347 10781 20694 21562 24143 31041 32343 48286 62082 64686 72429 75467 93123 97029 144858 150934 186246 194058 217287 226401 279369 291087 434574 452802 558738 582174 651861 679203 873261 1303722 1358406 1746522 1955583 2037609 3911166 4075218 6112827 12225654 37183669 74367338 111551007 223102014 260285683 334653021 520571366 669306042 780857049 1003959063 1561714098 2007918126 2342571147 3011877189 4685142294 6023754378 7027713441 14055426882 21083140323 42166280646