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13353492384 = 253317253479
BaseRepresentation
bin11000110111110111…
…00001111110100000
31021110121221200212000
430123323201332200
5204321443224014
610045015404000
7651624545451
oct143373417640
937417850760
1013353492384
115732775521
122708083600
13134a6ab6ab
149096a5128
155324ca509
hex31bee1fa0

13353492384 has 144 divisors (see below), whose sum is σ = 41374267200. Its totient is φ = 4189252608.

The previous prime is 13353492379. The next prime is 13353492407. The reversal of 13353492384 is 48329435331.

13353492384 is a `hidden beast` number, since 1 + 33 + 53 + 492 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222957 + ... + 276435.

It is an arithmetic number, because the mean of its divisors is an integer number (287321300).

Almost surely, 213353492384 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 13353492384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20687133600).

13353492384 is an abundant number, since it is smaller than the sum of its proper divisors (28020774816).

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

13353492384 is a wasteful number, since it uses less digits than its factorization.

13353492384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53532 (or 53501 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 13353492384 in words is "thirteen billion, three hundred fifty-three million, four hundred ninety-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 289 306 408 432 459 544 578 612 816 864 867 918 1156 1224 1632 1734 1836 2312 2448 2601 3468 3672 4624 4896 5202 6936 7344 7803 9248 10404 13872 14688 15606 20808 27744 31212 41616 53479 62424 83232 106958 124848 160437 213916 249696 320874 427832 481311 641748 855664 909143 962622 1283496 1443933 1711328 1818286 1925244 2566992 2727429 2887866 3636572 3850488 5133984 5454858 5775732 7273144 7700976 8182287 10909716 11551464 14546288 15401952 15455431 16364574 21819432 23102928 24546861 29092576 30910862 32729148 43638864 46205856 46366293 49093722 61821724 65458296 87277728 92732586 98187444 123643448 130916592 139098879 185465172 196374888 247286896 261833184 278197758 370930344 392749776 417296637 494573792 556395516 741860688 785499552 834593274 1112791032 1483721376 1669186548 2225582064 3338373096 4451164128 6676746192 13353492384