Search a number
-
+
1468946016 = 2534566723
BaseRepresentation
bin101011110001110…
…0101011001100000
310210101002012010000
41113203211121200
511002022233031
6401432340000
751254556306
oct12743453140
93711065100
101468946016
116941aa97a
1234bb44600
131a543b635
14dd13c276
1588e633e6
hex578e5660

1468946016 has 60 divisors (see below), whose sum is σ = 4320137052. Its totient is φ = 489647808.

The previous prime is 1468946009. The next prime is 1468946029. The reversal of 1468946016 is 6106498641.

It is a super-4 number, since 4×14689460164 (a number of 38 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 280770 + ... + 285953.

Almost surely, 21468946016 is an apocalyptic number.

1468946016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1468946016 is an abundant number, since it is smaller than the sum of its proper divisors (2851191036).

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

1468946016 is an equidigital number, since it uses as much as digits as its factorization.

1468946016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566745 (or 566728 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1468946016 is about 38326.8315413628. The cubic root of 1468946016 is about 1136.7595512178.

The spelling of 1468946016 in words is "one billion, four hundred sixty-eight million, nine hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 566723 1133446 1700169 2266892 3400338 4533784 5100507 6800676 9067568 10201014 13601352 15301521 18135136 20402028 27202704 30603042 40804056 45904563 54405408 61206084 81608112 91809126 122412168 163216224 183618252 244824336 367236504 489648672 734473008 1468946016