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28376350275240 = 233451143115116087
BaseRepresentation
bin1100111001110111000100…
…10001110011011010101000
310201110202022122021210010000
412130323202101303122220
512204404231132301430
6140203525414423000
75656060261423242
oct634734221633250
9121422278253100
1028376350275240
119050384a623a0
12322363a361a60
1312aab5596b446
147015cbba3092
15343202343e60
hex19cee24736a8

28376350275240 has 640 divisors, whose sum is σ = 106565429329920. Its totient is φ = 6712880832000.

The previous prime is 28376350275227. The next prime is 28376350275263. The reversal of 28376350275240 is 4257205367382.

28376350275240 is a `hidden beast` number, since 2 + 8 + 3 + 7 + 63 + 50 + 2 + 7 + 524 + 0 = 666.

28376350275240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×283763502752402 (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1763922477 + ... + 1763938563.

It is an arithmetic number, because the mean of its divisors is an integer number (166508483328).

Almost surely, 228376350275240 is an apocalyptic number.

28376350275240 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 28376350275240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53282714664960).

28376350275240 is an abundant number, since it is smaller than the sum of its proper divisors (78189079054680).

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

28376350275240 is a wasteful number, since it uses less digits than its factorization.

28376350275240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17315 (or 17302 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 28376350275240 in words is "twenty-eight trillion, three hundred seventy-six billion, three hundred fifty million, two hundred seventy-five thousand, two hundred forty".