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12755669481 = 36472892
BaseRepresentation
bin10111110000100110…
…00001000111101001
31012220222001011000000
423320103001013221
5202110422410411
65505422133213
7631045254522
oct137023010751
935828034000
1012755669481
115456274305
12257ba21209
131283895a29
14890127849
154e9c8c956
hex2f84c11e9

12755669481 has 63 divisors (see below), whose sum is σ = 19762343911. Its totient is φ = 8229333024.

The previous prime is 12755669467. The next prime is 12755669489. The reversal of 12755669481 is 18496655721.

It is a happy number.

The square root of 12755669481 is 112941.

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

12755669481 is a `hidden beast` number, since 1 + 2 + 7 + 556 + 6 + 9 + 4 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2449359081 + 10306310400 = 49491^2 + 101520^2 .

It is not a de Polignac number, because 12755669481 - 215 = 12755636713 is a prime.

It is a super-2 number, since 2×127556694812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12755669489) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 143322085 + ... + 143322173.

Almost surely, 212755669481 is an apocalyptic number.

12755669481 is the 112941-st square number.

12755669481 is the 56471-st centered octagonal number.

It is an amenable number.

12755669481 is a deficient number, since it is larger than the sum of its proper divisors (7006674430).

12755669481 is an frugal number, since it uses more digits than its factorization.

12755669481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 139 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 12755669481 in words is "twelve billion, seven hundred fifty-five million, six hundred sixty-nine thousand, four hundred eighty-one".

Divisors: 1 3 9 27 47 81 89 141 243 267 423 729 801 1269 2209 2403 3807 4183 6627 7209 7921 11421 12549 19881 21627 23763 34263 37647 59643 64881 71289 112941 178929 196601 213867 338823 372287 536787 589803 641601 1016469 1116861 1610361 1769409 1924803 3049407 3350583 5308227 5774409 10051749 15924681 17497489 30155247 47774043 52492467 90465741 143322129 157477401 271397223 472432203 1417296609 4251889827 12755669481