Search a number
-
+
13054546288 = 247241478641
BaseRepresentation
bin11000010100001110…
…01001000101110000
31020200210102122220101
430022013021011300
5203213430440123
65555220122144
7641334545500
oct141207110560
936623378811
1013054546288
115599a50933
122643b36354
13130078c504
148bbac7a00
15516128aad
hex30a1c9170

13054546288 has 120 divisors (see below), whose sum is σ = 30785154624. Its totient is φ = 5341593600.

The previous prime is 13054546223. The next prime is 13054546289. The reversal of 13054546288 is 88264545031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13054546289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1506448 + ... + 1515088.

Almost surely, 213054546288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13054546288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15392577312).

13054546288 is an abundant number, since it is smaller than the sum of its proper divisors (17730608336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13054546288 is a wasteful number, since it uses less digits than its factorization.

13054546288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8751 (or 8738 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The spelling of 13054546288 in words is "thirteen billion, fifty-four million, five hundred forty-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 41 47 49 56 82 94 98 112 164 188 196 287 328 329 376 392 574 656 658 752 784 1148 1316 1927 2009 2296 2303 2632 3854 4018 4592 4606 5264 7708 8036 8641 9212 13489 15416 16072 17282 18424 26978 30832 32144 34564 36848 53956 60487 69128 94423 107912 120974 138256 188846 215824 241948 354281 377692 406127 423409 483896 708562 755384 812254 846818 967792 1417124 1510768 1624508 1693636 2479967 2834248 2842889 3249016 3387272 4959934 5668496 5685778 6498032 6774544 9919868 11371556 16651207 17359769 19839736 19900223 22743112 33302414 34719538 39679472 39800446 45486224 66604828 69439076 79600892 116558449 133209656 138878152 159201784 233116898 266419312 277756304 318403568 466233796 815909143 932467592 1631818286 1864935184 3263636572 6527273144 13054546288