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13523052288 = 283173972609
BaseRepresentation
bin11001001100000100…
…10110011100000000
31021220110000020022110
430212002112130000
5210143400133123
610113513535320
7656054022264
oct144602263400
937813006273
1013523052288
11580a457379
122754a14540
1313768685b5
149240020a4
15542320493
hex326096700

13523052288 has 144 divisors (see below), whose sum is σ = 38218793760. Its totient is φ = 4230217728.

The previous prime is 13523052233. The next prime is 13523052289. The reversal of 13523052288 is 88225032531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13523052289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5181928 + ... + 5184536.

It is an arithmetic number, because the mean of its divisors is an integer number (265408290).

Almost surely, 213523052288 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 13523052288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19109396880).

13523052288 is an abundant number, since it is smaller than the sum of its proper divisors (24695741472).

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

13523052288 is a wasteful number, since it uses less digits than its factorization.

13523052288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 13523052288 in words is "thirteen billion, five hundred twenty-three million, fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 397 408 544 768 794 816 1088 1191 1588 1632 2176 2382 2609 3176 3264 4352 4764 5218 6352 6528 6749 7827 9528 10436 12704 13056 13498 15654 19056 20247 20872 25408 26996 31308 38112 40494 41744 44353 50816 53992 62616 76224 80988 83488 88706 101632 107984 125232 133059 152448 161976 166976 177412 215968 250464 266118 304896 323952 333952 354824 431936 500928 532236 647904 667904 709648 863872 1001856 1035773 1064472 1295808 1419296 1727744 2003712 2071546 2128944 2591616 2838592 3107319 4143092 4257888 5183232 5677184 6214638 8286184 8515776 11354368 12429276 16572368 17031552 17608141 24858552 33144736 34063104 35216282 49717104 52824423 66289472 70432564 99434208 105648846 132578944 140865128 198868416 211297692 265157888 281730256 397736832 422595384 563460512 795473664 845190768 1126921024 1690381536 2253842048 3380763072 4507684096 6761526144 13523052288