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27084253728000 = 2835372101109523
BaseRepresentation
bin1100010100010000010110…
…10100101000110100000000
310112220020012012200022212110
412022020023110220310000
512022222022423244000
6133334200121255320
75463526025120100
oct612101324506400
9115806165608773
1027084253728000
1186a2405165247
123055139934540
13121605a0b2091
14698c5614d200
1531e7cc1e7850
hex18a20b528d00

27084253728000 has 1728 divisors, whose sum is σ = 106857372061440. Its totient is φ = 6061547520000.

The previous prime is 27084253727959. The next prime is 27084253728001. The reversal of 27084253728000 is 82735248072.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27084253728001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51786335739 + ... + 51786336261.

It is an arithmetic number, because the mean of its divisors is an integer number (61838756980).

Almost surely, 227084253728000 is an apocalyptic number.

27084253728000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27084253728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53428686030720).

27084253728000 is an abundant number, since it is smaller than the sum of its proper divisors (79773118333440).

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

27084253728000 is a wasteful number, since it uses less digits than its factorization.

27084253728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 27084253728000 in words is "twenty-seven trillion, eighty-four billion, two hundred fifty-three million, seven hundred twenty-eight thousand".