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12291082386496 = 264382332
BaseRepresentation
bin1011001011011011110110…
…0110010111110001000000
31121112000102122221102112221
42302312331212113301000
53102334114042331441
642050240103500424
72406000323326564
oct262667546276100
947460378842487
1012291082386496
113a09689641091
121466116757714
136b2075b558c4
14306c6a6336a4
15164abc7788d1
hexb2dbd997c40

12291082386496 has 21 divisors (see below), whose sum is σ = 24390172266421. Its totient is φ = 6145527169792.

The previous prime is 12291082386493. The next prime is 12291082386511. The reversal of 12291082386496 is 69468328019221.

The square root of 12291082386496 is 3505864.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8322763406400 + 3968318980096 = 2884920^2 + 1992064^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12291082386493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 27827796 + ... + 28266028.

Almost surely, 212291082386496 is an apocalyptic number.

12291082386496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12291082386496 is the 3505864-th square number.

It is an amenable number.

12291082386496 is a deficient number, since it is larger than the sum of its proper divisors (12099089879925).

12291082386496 is an frugal number, since it uses more digits than its factorization.

12291082386496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876478 (or 438235 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 61.

The spelling of 12291082386496 in words is "twelve trillion, two hundred ninety-one billion, eighty-two million, three hundred eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 438233 876466 1752932 3505864 7011728 14023456 28046912 192048162289 384096324578 768192649156 1536385298312 3072770596624 6145541193248 12291082386496