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22146428727 = 338111011391
BaseRepresentation
bin10100101000000001…
…111010111100110111
32010011102102010221000
4110220001322330313
5330323441204402
614101322454343
71412544352413
oct245001727467
963142363830
1022146428727
119435099765
1243609643b3
13211c2a04c7
1411013b9d43
15899404c1c
hex52807af37

22146428727 has 16 divisors (see below), whose sum is σ = 32850012160. Its totient is φ = 14746066200.

The previous prime is 22146428657. The next prime is 22146428767. The reversal of 22146428727 is 72782464122.

22146428727 is a `hidden beast` number, since 2 + 214 + 6 + 428 + 7 + 2 + 7 = 666.

It is not a de Polignac number, because 22146428727 - 219 = 22145904439 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22146428767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483799 + ... + 527592.

It is an arithmetic number, because the mean of its divisors is an integer number (2053125760).

Almost surely, 222146428727 is an apocalyptic number.

22146428727 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

22146428727 is a deficient number, since it is larger than the sum of its proper divisors (10703583433).

22146428727 is a wasteful number, since it uses less digits than its factorization.

22146428727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012211 (or 1012205 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The spelling of 22146428727 in words is "twenty-two billion, one hundred forty-six million, four hundred twenty-eight thousand, seven hundred twenty-seven".

Divisors: 1 3 9 27 811 2433 7299 21897 1011391 3034173 9102519 27307557 820238101 2460714303 7382142909 22146428727