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26839007104 = 2771313611693
BaseRepresentation
bin11000111111101110…
…101011111110000000
32120021110022211022011
4120333232223332000
5414431241211404
620155113022304
71640044540060
oct307756537600
976243284264
1026839007104
1110422a13308
1252503b4994
1326b95331c0
1414286d53a0
15a71383604
hex63fbabf80

26839007104 has 128 divisors (see below), whose sum is σ = 65894431680. Its totient is φ = 10603560960.

The previous prime is 26839007059. The next prime is 26839007141. The reversal of 26839007104 is 40170093862.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15852082 + ... + 15853774.

Almost surely, 226839007104 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 26839007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32947215840).

26839007104 is an abundant number, since it is smaller than the sum of its proper divisors (39055424576).

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

26839007104 is a wasteful number, since it uses less digits than its factorization.

26839007104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 26839007104 in words is "twenty-six billion, eight hundred thirty-nine million, seven thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1361 1456 1664 1693 2722 2912 3386 5444 5824 6772 9527 10888 11648 11851 13544 17693 19054 21776 22009 23702 27088 35386 38108 43552 44018 47404 54176 70772 76216 87104 88036 94808 108352 123851 141544 152432 154063 174208 176072 189616 216704 247702 283088 304864 308126 352144 379232 495404 566176 609728 616252 704288 758464 990808 1132352 1219456 1232504 1408576 1516928 1981616 2264704 2304173 2465008 2817152 3963232 4608346 4930016 7926464 9216692 9860032 15852928 16129211 18433384 19720064 29954249 32258422 36866768 59908498 64516844 73733536 119816996 129033688 147467072 209679743 239633992 258067376 294934144 419359486 479267984 516134752 838718972 958535968 1032269504 1677437944 1917071936 2064539008 3354875888 3834143872 6709751776 13419503552 26839007104