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12727155091392 = 263372197911119
BaseRepresentation
bin1011100100110100010110…
…0011101110011111000000
31200001201000022200001222000
42321031011203232133000
53132010203200411032
643022435131144000
72452335524215500
oct271150543563700
950051008601860
1012727155091392
114067613286595
1215167365a5000
1371421c9cc831
1431ddd7577a00
151710e0e95e7c
hexb93458ee7c0

12727155091392 has 336 divisors, whose sum is σ = 45814878144000. Its totient is φ = 3444943799808.

The previous prime is 12727155091379. The next prime is 12727155091403. The reversal of 12727155091392 is 29319055172721.

12727155091392 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 71 + 550 + 9 + 13 + 9 + 2 = 666.

12727155091392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2346792 + ... + 5564327.

It is an arithmetic number, because the mean of its divisors is an integer number (136353804000).

Almost surely, 212727155091392 is an apocalyptic number.

12727155091392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12727155091392 is an abundant number, since it is smaller than the sum of its proper divisors (33087723052608).

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

12727155091392 is a wasteful number, since it uses less digits than its factorization.

12727155091392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7911173 (or 7911150 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 12727155091392 in words is "twelve trillion, seven hundred twenty-seven billion, one hundred fifty-five million, ninety-one thousand, three hundred ninety-two".