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27338920992 = 2532191496999
BaseRepresentation
bin11001011101100001…
…101101010000100000
32121120022000002020100
4121131201231100200
5421442230432432
620320451542400
71655324665005
oct313541552040
977508002210
1027338920992
111065a120a89
12536b8baa00
132768c88036
141474c678ac
15aa01d107c
hex65d86d420

27338920992 has 72 divisors (see below), whose sum is σ = 78152256000. Its totient is φ = 9065243520.

The previous prime is 27338920981. The next prime is 27338920993. The reversal of 27338920992 is 29902983372.

It is a happy number.

27338920992 is a `hidden beast` number, since 273 + 3 + 89 + 209 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (27338920993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193492 + ... + 303507.

It is an arithmetic number, because the mean of its divisors is an integer number (1085448000).

Almost surely, 227338920992 is an apocalyptic number.

It is an amenable number.

27338920992 is an abundant number, since it is smaller than the sum of its proper divisors (50813335008).

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

27338920992 is a wasteful number, since it uses less digits than its factorization.

27338920992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497206 (or 497195 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 27338920992 in words is "twenty-seven billion, three hundred thirty-eight million, nine hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 191 288 382 573 764 1146 1528 1719 2292 3056 3438 4584 6112 6876 9168 13752 18336 27504 55008 496999 993998 1490997 1987996 2981994 3975992 4472991 5963988 7951984 8945982 11927976 15903968 17891964 23855952 35783928 47711904 71567856 94926809 143135712 189853618 284780427 379707236 569560854 759414472 854341281 1139121708 1518828944 1708682562 2278243416 3037657888 3417365124 4556486832 6834730248 9112973664 13669460496 27338920992