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1468416705 = 35761229261
BaseRepresentation
bin101011110000110…
…0100001011000001
310210100002022000220
41113201210023001
511001403313310
6401413133253
751250223160
oct12741441301
93710068026
101468416705
11693979228
1234b92a229
131a52b4732
14dd0413d7
1588dab670
hex578642c1

1468416705 has 32 divisors (see below), whose sum is σ = 2729134848. Its totient is φ = 660268800.

The previous prime is 1468416671. The next prime is 1468416707. The reversal of 1468416705 is 5076148641.

It is not a de Polignac number, because 1468416705 - 26 = 1468416641 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1468416707) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 108226 + ... + 121035.

It is an arithmetic number, because the mean of its divisors is an integer number (85285464).

Almost surely, 21468416705 is an apocalyptic number.

1468416705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1468416705 is a deficient number, since it is larger than the sum of its proper divisors (1260718143).

1468416705 is a wasteful number, since it uses less digits than its factorization.

1468416705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229337.

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 1468416705 is about 38319.9256914728. The cubic root of 1468416705 is about 1136.6229971594.

The spelling of 1468416705 in words is "one billion, four hundred sixty-eight million, four hundred sixteen thousand, seven hundred five".

Divisors: 1 3 5 7 15 21 35 61 105 183 305 427 915 1281 2135 6405 229261 687783 1146305 1604827 3438915 4814481 8024135 13984921 24072405 41954763 69924605 97894447 209773815 293683341 489472235 1468416705