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26147538768 = 24313412294463
BaseRepresentation
bin11000010110100000…
…111100011101010000
32111111021012121001210
4120112200330131100
5412022232220033
620002332300120
71613650261311
oct302640743520
974437177053
1026147538768
11100a867097a
125098911640
1326091c0240
1413a093c608
15a307e8d63
hex61683c750

26147538768 has 160 divisors (see below), whose sum is σ = 74860208640. Its totient is φ = 7813140480.

The previous prime is 26147538763. The next prime is 26147538773. The reversal of 26147538768 is 86783574162.

It is an interprime number because it is at equal distance from previous prime (26147538763) and next prime (26147538773).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26147538763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5856505 + ... + 5860967.

It is an arithmetic number, because the mean of its divisors is an integer number (467876304).

Almost surely, 226147538768 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 26147538768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37430104320).

26147538768 is an abundant number, since it is smaller than the sum of its proper divisors (48712669872).

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

26147538768 is a wasteful number, since it uses less digits than its factorization.

26147538768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4757 (or 4751 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 57.

The spelling of 26147538768 in words is "twenty-six billion, one hundred forty-seven million, five hundred thirty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 229 246 312 328 458 492 533 624 656 687 916 984 1066 1374 1599 1832 1968 2132 2748 2977 3198 3664 4264 4463 5496 5954 6396 8528 8926 8931 9389 10992 11908 12792 13389 17852 17862 18778 23816 25584 26778 28167 35704 35724 37556 47632 53556 56334 58019 71408 71448 75112 107112 112668 116038 122057 142896 150224 174057 182983 214224 225336 232076 244114 348114 365966 366171 450672 464152 488228 548949 696228 731932 732342 928304 976456 1022027 1097898 1392456 1463864 1464684 1952912 2044054 2195796 2378779 2784912 2927728 2929368 3066081 4088108 4391592 4757558 5858736 6132162 7136337 8176216 8783184 9515116 12264324 13286351 14272674 16352432 19030232 24528648 26572702 28545348 38060464 39859053 41903107 49057296 53145404 57090696 79718106 83806214 106290808 114181392 125709321 159436212 167612428 212581616 251418642 318872424 335224856 502837284 544740391 637744848 670449712 1005674568 1089480782 1634221173 2011349136 2178961564 3268442346 4357923128 6536884692 8715846256 13073769384 26147538768