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12032043345 = 34572606301
BaseRepresentation
bin10110011010010101…
…00110100101010001
31011001112102010120000
423031022212211101
5144120200341340
65305532240213
7604110452400
oct131512464521
934045363500
1012032043345
115114858283
1223b9610069
1311999a389a
14821d9d637
154a649ed30
hex2cd2a6951

12032043345 has 60 divisors (see below), whose sum is σ = 25089989364. Its totient is φ = 5500353600.

The previous prime is 12032043307. The next prime is 12032043407. The reversal of 12032043345 is 54334023021.

12032043345 is a `hidden beast` number, since 1 + 2 + 0 + 320 + 4 + 334 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8495124561 + 3536918784 = 92169^2 + 59472^2 .

It is not a de Polignac number, because 12032043345 - 215 = 12032010577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 283306 + ... + 322995.

Almost surely, 212032043345 is an apocalyptic number.

12032043345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12032043345 is an abundant number, since it is smaller than the sum of its proper divisors (13057946019).

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

12032043345 is an equidigital number, since it uses as much as digits as its factorization.

12032043345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606332 (or 606316 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 12032043345 its reverse (54334023021), we get a palindrome (66366066366).

The spelling of 12032043345 in words is "twelve billion, thirty-two million, forty-three thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 245 315 405 441 567 735 945 1323 2205 2835 3969 6615 19845 606301 1818903 3031505 4244107 5456709 9094515 12732321 16370127 21220535 27283545 29708749 38196963 49110381 63661605 81850635 89126247 114590889 148543745 190984815 245551905 267378741 343772667 445631235 572954445 802136223 1336893705 1718863335 2406408669 4010681115 12032043345