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14061727510609 = 19223285812
BaseRepresentation
bin1100110010100000000001…
…0001011111000001010001
31211210021202222010101120011
43030220000101133001101
53320341404220314414
645523511325514521
72650632500500252
oct314500021370121
954707688111504
1014061727510609
1145315aa655a69
1216b1310112a41
137b002757055c
1436883c528b29
15195ba013adc4
hexcca0045f051

14061727510609 has 27 divisors (see below), whose sum is σ = 15515884035099. Its totient is φ = 12740950038960.

The previous prime is 14061727510577. The next prime is 14061727510619. The reversal of 14061727510609 is 90601572716041.

The square root of 14061727510609 is 3749897.

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., 3277219009 + 14058450291600 = 57247^2 + 3749460^2 .

It is not a de Polignac number, because 14061727510609 - 25 = 14061727510577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14061727510619) 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, 1638700699 + ... + 1638709279.

Almost surely, 214061727510609 is an apocalyptic number.

14061727510609 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

14061727510609 is the 3749897-th square number.

14061727510609 is the 1874949-th centered octagonal number.

It is an amenable number.

14061727510609 is a deficient number, since it is larger than the sum of its proper divisors (1454156524490).

14061727510609 is an frugal number, since it uses more digits than its factorization.

14061727510609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17246 (or 8623 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 49.

Multiplying 14061727510609 by its sum of digits (49), we get a square (689024648019841 = 262492792).

The spelling of 14061727510609 in words is "fourteen trillion, sixty-one billion, seven hundred twenty-seven million, five hundred ten thousand, six hundred nine".

Divisors: 1 19 23 361 437 529 8303 8581 10051 163039 190969 197363 3097741 3749897 4539349 71248043 73633561 86247631 1399037659 1638704989 1693571903 26581715521 32177866157 38952153769 611379456983 740090921611 14061727510609