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1328590031664 = 243712731134937
BaseRepresentation
bin10011010101010110001…
…000110000101100110000
311201000022201112112122210
4103111112020300230300
5133231423022003124
62454202411132120
7164662461636360
oct23252610605460
94630281475583
101328590031664
114724a7489135
121955a6144040
139839333073c
14484386489a0
152485dd8aa29
hex13556230b30

1328590031664 has 80 divisors (see below), whose sum is σ = 3953389887488. Its totient is φ = 376608185856.

The previous prime is 1328590031663. The next prime is 1328590031669. The reversal of 1328590031664 is 4661300958231.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1328590031663) 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 15 ways as a sum of consecutive naturals, for example, 15524797 + ... + 15610140.

Almost surely, 21328590031664 is an apocalyptic number.

1328590031664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1328590031664 is an abundant number, since it is smaller than the sum of its proper divisors (2624799855824).

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

1328590031664 is a wasteful number, since it uses less digits than its factorization.

1328590031664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31135082 (or 31135076 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

Adding to 1328590031664 its reverse (4661300958231), we get a palindrome (5989890989895).

The spelling of 1328590031664 in words is "one trillion, three hundred twenty-eight billion, five hundred ninety million, thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 168 254 336 381 508 762 889 1016 1524 1778 2032 2667 3048 3556 5334 6096 7112 10668 14224 21336 42672 31134937 62269874 93404811 124539748 186809622 217944559 249079496 373619244 435889118 498158992 653833677 747238488 871778236 1307667354 1494476976 1743556472 2615334708 3487112944 3954136999 5230669416 7908273998 10461338832 11862410997 15816547996 23724821994 27678958993 31633095992 47449643988 55357917986 63266191984 83036876979 94899287976 110715835972 166073753958 189798575952 221431671944 332147507916 442863343888 664295015832 1328590031664