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12066467456 = 2794269277
BaseRepresentation
bin10110011110011011…
…11010111010000000
31011010221012001120002
423033031322322000
5144203003424311
65313202135132
7605006165261
oct131715727200
934127161502
1012066467456
11513222a65a
1224090514a8
1311a3b67494
148267a0968
154a94ee93b
hex2cf37ae80

12066467456 has 16 divisors (see below), whose sum is σ = 24038665890. Its totient is φ = 6033233664.

The previous prime is 12066467453. The next prime is 12066467459. The reversal of 12066467456 is 65476466021.

It is an interprime number because it is at equal distance from previous prime (12066467453) and next prime (12066467459).

It can be written as a sum of positive squares in only one way, i.e., 7641557056 + 4424910400 = 87416^2 + 66520^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×120664674562 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12066467456.

It is not an unprimeable number, because it can be changed into a prime (12066467453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 47134511 + ... + 47134766.

Almost surely, 212066467456 is an apocalyptic number.

12066467456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12066467456 is a deficient number, since it is larger than the sum of its proper divisors (11972198434).

12066467456 is an frugal number, since it uses more digits than its factorization.

12066467456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94269291 (or 94269279 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 12066467456 in words is "twelve billion, sixty-six million, four hundred sixty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 94269277 188538554 377077108 754154216 1508308432 3016616864 6033233728 12066467456