Search a number
-
+
6466993680 = 243573849401
BaseRepresentation
bin1100000010111011…
…00111111000010000
3121200200210022120110
412001131213320100
5101221022244210
62545414041320
7316154352660
oct60135477020
917620708513
106466993680
1128194a4084
121305949240
137c0a656a4
14454c521a0
1527cb31420
hex181767e10

6466993680 has 80 divisors (see below), whose sum is σ = 22911640704. Its totient is φ = 1478169600.

The previous prime is 6466993661. The next prime is 6466993703. The reversal of 6466993680 is 863996646.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 6466993680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1923021 + ... + 1926380.

Almost surely, 26466993680 is an apocalyptic number.

6466993680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6466993680 is an abundant number, since it is smaller than the sum of its proper divisors (16444647024).

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

6466993680 is a wasteful number, since it uses less digits than its factorization.

6466993680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849424 (or 3849418 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 57.

The square root of 6466993680 is about 80417.6204572107. The cubic root of 6466993680 is about 1863.0913329176.

The spelling of 6466993680 in words is "six billion, four hundred sixty-six million, nine hundred ninety-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 3849401 7698802 11548203 15397604 19247005 23096406 26945807 30795208 38494010 46192812 53891614 57741015 61590416 76988020 80837421 92385624 107783228 115482030 134729035 153976040 161674842 184771248 215566456 230964060 269458070 307952080 323349684 404187105 431132912 461928120 538916140 646699368 808374210 923856240 1077832280 1293398736 1616748420 2155664560 3233496840 6466993680