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28145301984 = 25367116993
BaseRepresentation
bin11010001101100101…
…110011100111100000
32200122111100111000000
4122031211303213200
5430120144130414
620532455300000
72014316056002
oct321545634740
980574314000
1028145301984
1110a3331aa58
12555597a600
132867063457
14150ddb4372
15aeadb8b09
hex68d9739e0

28145301984 has 168 divisors, whose sum is σ = 84253668912. Its totient is φ = 9249085440.

The previous prime is 28145301979. The next prime is 28145301991. The reversal of 28145301984 is 48910354182.

28145301984 is a `hidden beast` number, since 2 + 8 + 1 + 453 + 0 + 198 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1647792 + ... + 1664784.

It is an arithmetic number, because the mean of its divisors is an integer number (501509934).

Almost surely, 228145301984 is an apocalyptic number.

28145301984 is a gapful number since it is divisible by the number (24) 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 28145301984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42126834456).

28145301984 is an abundant number, since it is smaller than the sum of its proper divisors (56108366928).

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

28145301984 is an equidigital number, since it uses as much as digits as its factorization.

28145301984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17092 (or 17069 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 28145301984 in words is "twenty-eight billion, one hundred forty-five million, three hundred one thousand, nine hundred eighty-four".