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12146023681 = 1124322332
BaseRepresentation
bin10110100111111010…
…11001110100000001
31011100110212221011221
423103331121310001
5144333340224211
65325123235041
7606663332521
oct132375316401
934313787157
1012146023681
115173128400
12242b818a81
1311b74a087c
1483318d681
154b14b6c71
hex2d3f59d01

12146023681 has 27 divisors (see below), whose sum is σ = 13727201187. Its totient is φ = 10738764960.

The previous prime is 12146023651. The next prime is 12146023717. The reversal of 12146023681 is 18632064121.

The square root of 12146023681 is 110209.

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., 2466612225 + 9679411456 = 49665^2 + 98384^2 .

It is not a de Polignac number, because 12146023681 - 211 = 12146021633 is a prime.

It is a super-2 number, since 2×121460236812 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12146023651) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52128741 + ... + 52128973.

Almost surely, 212146023681 is an apocalyptic number.

12146023681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12146023681 is the 110209-th square number.

12146023681 is the 55105-th centered octagonal number.

It is an amenable number.

12146023681 is a deficient number, since it is larger than the sum of its proper divisors (1581177506).

12146023681 is an frugal number, since it uses more digits than its factorization.

12146023681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 12146023681 in words is "twelve billion, one hundred forty-six million, twenty-three thousand, six hundred eighty-one".

Divisors: 1 11 43 121 233 473 1849 2563 5203 10019 20339 28193 54289 110209 223729 430817 597179 1212299 2334427 4738987 6568969 25678697 52128857 100380361 282465667 1104183971 12146023681