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12067916445 = 3251320628917
BaseRepresentation
bin10110011110100110…
…11100101010011101
31011011000220200012100
423033103130222131
5144203341311240
65313253155313
7605024411604
oct131723345235
934130820170
1012067916445
11513302a272
12240962bb39
1311a4253b80
14826a5aa3b
154a96d8e30
hex2cf4dca9d

12067916445 has 24 divisors (see below), whose sum is σ = 22526778456. Its totient is φ = 5941127808.

The previous prime is 12067916431. The next prime is 12067916449. The reversal of 12067916445 is 54461976021.

12067916445 is a `hidden beast` number, since 120 + 6 + 79 + 16 + 445 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15129 + 12067901316 = 123^2 + 109854^2 .

It is not a de Polignac number, because 12067916445 - 26 = 12067916381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12067916445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12067916449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10313874 + ... + 10315043.

It is an arithmetic number, because the mean of its divisors is an integer number (938615769).

Almost surely, 212067916445 is an apocalyptic number.

12067916445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12067916445 is a deficient number, since it is larger than the sum of its proper divisors (10458862011).

12067916445 is a wasteful number, since it uses less digits than its factorization.

12067916445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20628941 (or 20628938 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12067916445 in words is "twelve billion, sixty-seven million, nine hundred sixteen thousand, four hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 20628917 61886751 103144585 185660253 268175921 309433755 804527763 928301265 1340879605 2413583289 4022638815 12067916445