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15014718263689 = 53211326472
BaseRepresentation
bin1101101001111110001011…
…1100101101000110001001
31222011101121112100122100221
43122133202330231012021
53432000120333414224
651533355533030041
73106530500314264
oct332374274550611
958141545318327
1015014718263689
114869785032971
121825b52925321
1384bb60593a51
1439ca0551bcdb
151b08798766e4
hexda7e2f2d189

15014718263689 has 27 divisors (see below), whose sum is σ = 15463887346453. Its totient is φ = 14578487810432.

The previous prime is 15014718263651. The next prime is 15014718263693. The reversal of 15014718263689 is 98636281741051.

The square root of 15014718263689 is 3874883.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2535314199289 + 12479404064400 = 1592267^2 + 3532620^2 .

It is not a de Polignac number, because 15014718263689 - 27 = 15014718263561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15014718213689) 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, 23206673964 + ... + 23206674610.

It is a 1-persistent number, because it is pandigital, but 2⋅15014718263689 = 30029436527378 is not.

Almost surely, 215014718263689 is an apocalyptic number.

15014718263689 is the 3874883-rd square number.

15014718263689 is the 1937442-nd centered octagonal number.

It is an amenable number.

15014718263689 is a deficient number, since it is larger than the sum of its proper divisors (449169082764).

15014718263689 is an frugal number, since it uses more digits than its factorization.

15014718263689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 61.

The spelling of 15014718263689 in words is "fifteen trillion, fourteen billion, seven hundred eighteen million, two hundred sixty-three thousand, six hundred eighty-nine".

Divisors: 1 53 113 647 2809 5989 12769 34291 73111 317417 418609 676757 1817423 3874883 8261543 22186277 35868121 47302817 205368799 437861779 1175872681 2507049301 5345218321 23206674287 132873612953 283296571013 15014718263689