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26560732068 = 2232131711292957
BaseRepresentation
bin11000101111001001…
…001001101110100100
32112120001200222201100
4120233021021232210
5413344021411233
620111332400100
71630125332433
oct305711115644
975501628640
1026560732068
111029a928142
125193176030
1326739a0a10
1413dd77911a
15a56c16813
hex62f249ba4

26560732068 has 144 divisors (see below), whose sum is σ = 76651127280. Its totient is φ = 7682383872.

The previous prime is 26560732067. The next prime is 26560732127. The reversal of 26560732068 is 86023706562.

It is a happy number.

26560732068 is a `hidden beast` number, since 2 + 6 + 5 + 607 + 32 + 0 + 6 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5282091684 + 21278640384 = 72678^2 + 145872^2 .

It is not an unprimeable number, because it can be changed into a prime (26560732061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8980846 + ... + 8983802.

It is an arithmetic number, because the mean of its divisors is an integer number (532299495).

Almost surely, 226560732068 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 26560732068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38325563640).

26560732068 is an abundant number, since it is smaller than the sum of its proper divisors (50090395212).

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

26560732068 is a wasteful number, since it uses less digits than its factorization.

26560732068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 26560732068 in words is "twenty-six billion, five hundred sixty million, seven hundred thirty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1129 1326 1989 2258 2652 2957 3387 3978 4516 5914 6774 7956 8871 10161 11828 13548 14677 17742 19193 20322 26613 29354 35484 38386 38441 40644 44031 50269 53226 57579 58708 76772 76882 88062 100538 106452 115158 115323 132093 150807 153764 172737 176124 201076 230316 230646 249509 264186 301614 345474 345969 452421 461292 499018 528372 603228 653497 690948 691938 748527 904842 998036 1306994 1383876 1497054 1809684 1960491 2245581 2613988 2994108 3338453 3920982 4491162 5881473 6676906 7841964 8982324 10015359 11762946 13353812 20030718 23525892 30046077 40061436 43399889 56753701 60092154 86799778 113507402 120184308 130199667 170261103 173599556 227014804 260399334 340522206 390599001 510783309 520798668 681044412 737798113 781198002 1021566618 1475596226 1562396004 2043133236 2213394339 2951192452 4426788678 6640183017 8853577356 13280366034 26560732068