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27938862468 = 22341131252877
BaseRepresentation
bin11010000001010010…
…010011010110000100
32200010002220021020000
4122001102103112010
5424204322044333
620500202441300
72006231261346
oct320122232604
980102807200
1027938862468
1110937839990
1254b8803230
1328333630aa
1414d07d7296
15ad7bdb713
hex681493584

27938862468 has 120 divisors (see below), whose sum is σ = 82248063744. Its totient is φ = 8193182400.

The previous prime is 27938862463. The next prime is 27938862491. The reversal of 27938862468 is 86426883972.

27938862468 is a `hidden beast` number, since 2 + 7 + 9 + 388 + 6 + 246 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (27938862463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15955 + ... + 236922.

Almost surely, 227938862468 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 27938862468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41124031872).

27938862468 is an abundant number, since it is smaller than the sum of its proper divisors (54309201276).

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

27938862468 is a wasteful number, since it uses less digits than its factorization.

27938862468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252935 (or 252924 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 27938862468 in words is "twenty-seven billion, nine hundred thirty-eight million, eight hundred sixty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 81 93 99 108 124 132 162 186 198 279 297 324 341 372 396 558 594 682 837 891 1023 1116 1188 1364 1674 1782 2046 2511 3069 3348 3564 4092 5022 6138 9207 10044 12276 18414 27621 36828 55242 110484 252877 505754 758631 1011508 1517262 2275893 2781647 3034524 4551786 5563294 6827679 7839187 8344941 9103572 11126588 13655358 15678374 16689882 20483037 23517561 25034823 27310716 31356748 33379764 40966074 47035122 50069646 70552683 75104469 81932148 86231057 94070244 100139292 141105366 150208938 172462114 211658049 225313407 258693171 282210732 300417876 344924228 423316098 450626814 517386342 634974147 776079513 846632196 901253628 1034772684 1269948294 1552159026 2328238539 2539896588 3104318052 4656477078 6984715617 9312954156 13969431234 27938862468