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27868128408 = 233514335457
BaseRepresentation
bin11001111101000100…
…011110010010011000
32122221011210121100000
4121331010132102120
5424033220102113
620445154413000
72004412116531
oct317504362230
978834717300
1027868128408
111090091738a
125498b91160
1328217c8413
1414c5263688
15ad18b8373
hex67d11e498

27868128408 has 48 divisors (see below), whose sum is σ = 78271600680. Its totient is φ = 9289375488.

The previous prime is 27868128403. The next prime is 27868128451. The reversal of 27868128408 is 80482186872.

It is a super-2 number, since 2×278681284082 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27868128403) 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 11 ways as a sum of consecutive naturals, for example, 7165785 + ... + 7169672.

Almost surely, 227868128408 is an apocalyptic number.

It is an amenable number.

27868128408 is an abundant number, since it is smaller than the sum of its proper divisors (50403472272).

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

27868128408 is a wasteful number, since it uses less digits than its factorization.

27868128408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14335478 (or 14335462 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 27868128408 in words is "twenty-seven billion, eight hundred sixty-eight million, one hundred twenty-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 14335457 28670914 43006371 57341828 86012742 114683656 129019113 172025484 258038226 344050968 387057339 516076452 774114678 1032152904 1161172017 1548229356 2322344034 3096458712 3483516051 4644688068 6967032102 9289376136 13934064204 27868128408