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26890256448 = 2633111414681
BaseRepresentation
bin11001000010110010…
…001100000001000000
32120102000202120012000
4121002302030001000
5420032401201243
620204143304000
71641236260056
oct310262140100
976360676160
1026890256448
1110449937740
1252655ab000
1326c7038163
1414314361d6
15a75b085d3
hex642c8c040

26890256448 has 112 divisors (see below), whose sum is σ = 86239014720. Its totient is φ = 8148556800.

The previous prime is 26890256441. The next prime is 26890256461. The reversal of 26890256448 is 84465209862.

26890256448 is a `hidden beast` number, since 2 + 68 + 90 + 2 + 56 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 26890256394 and 26890256403.

It is not an unprimeable number, because it can be changed into a prime (26890256441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688333 + ... + 726348.

Almost surely, 226890256448 is an apocalyptic number.

It is an amenable number.

26890256448 is an abundant number, since it is smaller than the sum of its proper divisors (59348758272).

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

26890256448 is a wasteful number, since it uses less digits than its factorization.

26890256448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414713 (or 1414697 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 26890256448 in words is "twenty-six billion, eight hundred ninety million, two hundred fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 1414681 2829362 4244043 5658724 8488086 11317448 12732129 15561491 16976172 22634896 25464258 31122982 33952344 38196387 45269792 46684473 50928516 62245964 67904688 76392774 90539584 93368946 101857032 124491928 135809376 140053419 152785548 186737892 203714064 248983856 271618752 280106838 305571096 373475784 407428128 420160257 497967712 560213676 611142192 746951568 814856256 840320514 995935424 1120427352 1222284384 1493903136 1680641028 2240854704 2444568768 2987806272 3361282056 4481709408 6722564112 8963418816 13445128224 26890256448