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13094208288 = 253277982217
BaseRepresentation
bin11000011000111100…
…11100001100100000
31020210120001200221100
430030132130030200
5203304104131123
610003154154400
7642325635240
oct141436341440
936716050840
1013094208288
11560a380547
122655282a00
131308a68255
148c308db20
15519860643
hex30c79c320

13094208288 has 144 divisors (see below), whose sum is σ = 43095386880. Its totient is φ = 3693800448.

The previous prime is 13094208287. The next prime is 13094208293. The reversal of 13094208288 is 88280249031.

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

It is not an unprimeable number, because it can be changed into a prime (13094208287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118156 + ... + 200372.

It is an arithmetic number, because the mean of its divisors is an integer number (299273520).

Almost surely, 213094208288 is an apocalyptic number.

13094208288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13094208288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21547693440).

13094208288 is an abundant number, since it is smaller than the sum of its proper divisors (30001178592).

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

13094208288 is a wasteful number, since it uses less digits than its factorization.

13094208288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82319 (or 82308 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 13094208288 in words is "thirteen billion, ninety-four million, two hundred eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 79 84 96 112 126 144 158 168 224 237 252 288 316 336 474 504 553 632 672 711 948 1008 1106 1264 1422 1659 1896 2016 2212 2528 2844 3318 3792 4424 4977 5688 6636 7584 8848 9954 11376 13272 17696 19908 22752 26544 39816 53088 79632 82217 159264 164434 246651 328868 493302 575519 657736 739953 986604 1151038 1315472 1479906 1726557 1973208 2302076 2630944 2959812 3453114 3946416 4604152 5179671 5919624 6495143 6906228 7892832 9208304 10359342 11839248 12990286 13812456 18416608 19485429 20718684 23678496 25980572 27624912 38970858 41437368 45466001 51961144 55249824 58456287 77941716 82874736 90932002 103922288 116912574 136398003 155883432 165749472 181864004 207844576 233825148 272796006 311766864 363728008 409194009 467650296 545592012 623533728 727456016 818388018 935300592 1091184024 1454912032 1636776036 1870601184 2182368048 3273552072 4364736096 6547104144 13094208288