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12057114016 = 25401939613
BaseRepresentation
bin10110011101010100…
…01111010110100000
31011010021120212001101
423032222033112200
5144143110122031
65312225444144
7604533530623
oct131652172640
934107525041
1012057114016
115127a21242
122405aa0654
1311a1c40cbc
14825447dba
154a87a3361
hex2cea8f5a0

12057114016 has 24 divisors (see below), whose sum is σ = 23796664164. Its totient is φ = 6013516800.

The previous prime is 12057114011. The next prime is 12057114019. The reversal of 12057114016 is 61041175021.

12057114016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10440752400 + 1616361616 = 102180^2 + 40204^2 .

It is not an unprimeable number, because it can be changed into a prime (12057114011) 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 3 ways as a sum of consecutive naturals, for example, 456975 + ... + 482638.

Almost surely, 212057114016 is an apocalyptic number.

12057114016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12057114016 is a deficient number, since it is larger than the sum of its proper divisors (11739550148).

12057114016 is an equidigital number, since it uses as much as digits as its factorization.

12057114016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940024 (or 940016 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

Adding to 12057114016 its reverse (61041175021), we get a palindrome (73098289037).

The spelling of 12057114016 in words is "twelve billion, fifty-seven million, one hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 32 401 802 1604 3208 6416 12832 939613 1879226 3758452 7516904 15033808 30067616 376784813 753569626 1507139252 3014278504 6028557008 12057114016