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12289063091776 = 26192230632
BaseRepresentation
bin1011001011010100010100…
…1111010111111001000000
31121111211012221021121221121
42302311011033113321000
53102321000122414101
642045303451202024
72405566303524142
oct262650517277100
947454187247847
1012289063091776
113a08842816079
121465852446314
136b1b136b4163
14306b18394c92
15164a003540a1
hexb2d453d7e40

12289063091776 has 63 divisors (see below), whose sum is σ = 25738256571771. Its totient is φ = 5820882747264.

The previous prime is 12289063091771. The next prime is 12289063091779. The reversal of 12289063091776 is 67719036098221.

The square root of 12289063091776 is 3505576.

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

12289063091776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122890630917762 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12289063091771) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 532836021 + ... + 532859083.

Almost surely, 212289063091776 is an apocalyptic number.

12289063091776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12289063091776 is the 3505576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12289063091776

12289063091776 is an abundant number, since it is smaller than the sum of its proper divisors (13449193479995).

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

12289063091776 is an frugal number, since it uses more digits than its factorization.

12289063091776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46176 (or 23084 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 61.

The spelling of 12289063091776 in words is "twelve trillion, two hundred eighty-nine billion, sixty-three million, ninety-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 2888 5776 11552 23063 23104 46126 92252 184504 369008 438197 738016 876394 1476032 1752788 3505576 7011152 8325743 14022304 16651486 28044608 33302972 66605944 133211888 266423776 531901969 532847552 1063803938 2127607876 4255215752 8510431504 10106137411 17020863008 20212274822 34041726016 40424549644 80849099288 161698198576 192016610809 323396397152 384033221618 646792794304 768066443236 1536132886472 3072265772944 6144531545888 12289063091776