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14927737231449 = 327225127332
BaseRepresentation
bin1101100100111010001001…
…1110011001100001011001
31221212002002200012101110100
43121032202132121201121
53424034001212401244
651425412515410013
73100331146613100
oct331164236314131
957762080171410
1014927737231449
1148358aa557a59
121811118bb3909
138438ab067633
14398713563037
151ad488588b69
hexd93a2799859

14927737231449 has 81 divisors (see below), whose sum is σ = 25217392494879. Its totient is φ = 8484560028000.

The previous prime is 14927737231441. The next prime is 14927737231481. The reversal of 14927737231449 is 94413273772941.

The square root of 14927737231449 is 3863643.

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

14927737231449 is a `hidden beast` number, since 1 + 4 + 9 + 27 + 73 + 72 + 31 + 449 = 666.

14927737231449 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 14603671175625 + 324066055824 = 3821475^2 + 569268^2 .

It is not a de Polignac number, because 14927737231449 - 23 = 14927737231441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (14927737231441) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20365261887 + ... + 20365262619.

Almost surely, 214927737231449 is an apocalyptic number.

14927737231449 is the 3863643-rd square number.

14927737231449 is the 1931822-nd centered octagonal number.

It is an amenable number.

14927737231449 is a deficient number, since it is larger than the sum of its proper divisors (10289655263430).

14927737231449 is an frugal number, since it uses more digits than its factorization.

14927737231449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 994 counting only the distinct ones).

The product of its digits is 64012032, while the sum is 63.

The spelling of 14927737231449 in words is "fourteen trillion, nine hundred twenty-seven billion, seven hundred thirty-seven million, two hundred thirty-one thousand, four hundred forty-nine".

Divisors: 1 3 7 9 21 49 63 147 251 441 733 753 1757 2199 2259 5131 5271 6597 12299 15393 15813 35917 36897 46179 63001 107751 110691 183983 189003 323253 441007 537289 551949 567009 1287881 1323021 1611867 1655847 3087049 3761023 3863643 3969063 4835601 9015167 9261147 11283069 11590929 26327161 27045501 27783441 33849207 46179733 78981483 81136503 134859539 138539199 236944449 323258131 404578617 415617597 944016773 969774393 1213735851 2262806917 2832050319 2909323179 6608117411 6788420751 8496150957 19824352233 20365262253 33849744289 59473056699 101549232867 236948210023 304647698601 710844630069 1658637470161 2132533890207 4975912410483 14927737231449