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26928708147 = 37114292
BaseRepresentation
bin11001000101000100…
…110111101000110011
32120111201010010000000
4121011010313220303
5420122222130042
620212035401043
71642214146125
oct310504675063
976451103000
1026928708147
1110469610000
125276453183
132701cac043
1414365a5215
15a791a174c
hex645137a33

26928708147 has 120 divisors (see below), whose sum is σ = 46010052400. Its totient is φ = 15757655760.

The previous prime is 26928708143. The next prime is 26928708199. The reversal of 26928708147 is 74180782962.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 26928708147 - 22 = 26928708143 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 26928708093 and 26928708102.

It is not an unprimeable number, because it can be changed into a prime (26928708143) 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 119 ways as a sum of consecutive naturals, for example, 928576129 + ... + 928576157.

Almost surely, 226928708147 is an apocalyptic number.

26928708147 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

26928708147 is a deficient number, since it is larger than the sum of its proper divisors (19081344253).

26928708147 is an frugal number, since it uses more digits than its factorization.

26928708147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 26928708147 in words is "twenty-six billion, nine hundred twenty-eight million, seven hundred eight thousand, one hundred forty-seven".

Divisors: 1 3 9 11 27 29 33 81 87 99 121 243 261 297 319 363 729 783 841 891 957 1089 1331 2187 2349 2523 2673 2871 3267 3509 3993 7047 7569 8019 8613 9251 9801 10527 11979 14641 21141 22707 24057 25839 27753 29403 31581 35937 38599 43923 63423 68121 77517 83259 88209 94743 101761 107811 115797 131769 204363 232551 249777 264627 284229 305283 323433 347391 395307 424589 613089 697653 749331 852687 915849 970299 1042173 1119371 1185921 1273767 1839267 2247993 2558061 2747547 2910897 3126519 3358113 3557763 3821301 6743979 7674183 8242641 9379557 10074339 10673289 11463903 12313081 20231937 24727923 28138671 30223017 32019867 34391709 36939243 74183769 84416013 90669051 103175127 110817729 222551307 272007153 309525381 332453187 816021459 928576143 997359561 2448064377 2992078683 8976236049 26928708147