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26890505344 = 271741301409
BaseRepresentation
bin11001000010110011…
…001000110010000000
32120102001020012121101
4121002303020302000
5420032432132334
620204152504144
71641241344523
oct310263106200
976361205541
1026890505344
1110449a9773a
1252656ab054
1326c70c4531
14143149cbba
15a75b57214
hex642cc8c80

26890505344 has 64 divisors (see below), whose sum is σ = 58105819800. Its totient is φ = 12345671680.

The previous prime is 26890505333. The next prime is 26890505371. The reversal of 26890505344 is 44350509862.

It can be written as a sum of positive squares in 4 ways, for example, as 19624647744 + 7265857600 = 140088^2 + 85240^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×268905053443 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26890505294 and 26890505303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61489 + ... + 239920.

Almost surely, 226890505344 is an apocalyptic number.

It is an amenable number.

26890505344 is an abundant number, since it is smaller than the sum of its proper divisors (31215314456).

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

26890505344 is a wasteful number, since it uses less digits than its factorization.

26890505344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301481 (or 301469 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 26890505344 in words is "twenty-six billion, eight hundred ninety million, five hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 128 136 164 272 328 544 656 697 1088 1312 1394 2176 2624 2788 5248 5576 11152 22304 44608 89216 301409 602818 1205636 2411272 4822544 5123953 9645088 10247906 12357769 19290176 20495812 24715538 38580352 40991624 49431076 81983248 98862152 163966496 197724304 210082073 327932992 395448608 420164146 655865984 790897216 840328292 1581794432 1680656584 3361313168 6722626336 13445252672 26890505344