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28106694144 = 29392789
BaseRepresentation
bin11010001011010010…
…100001111000000000
32200112210201000000000
4122023102201320000
5430030303203034
620525000000000
72013336646464
oct321322417000
980483630000
1028106694144
1110a13550351
125544a60000
13285c066489
141508c044a4
15ae77de599
hex68b4a1e00

28106694144 has 200 divisors, whose sum is σ = 84266515080. Its totient is φ = 9365538816.

The previous prime is 28106694103. The next prime is 28106694157. The reversal of 28106694144 is 44149660182.

It is a self number, because there is not a number n which added to its sum of digits gives 28106694144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10076302 + ... + 10079090.

Almost surely, 228106694144 is an apocalyptic number.

28106694144 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 28106694144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42133257540).

28106694144 is an abundant number, since it is smaller than the sum of its proper divisors (56159820936).

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

28106694144 is an frugal number, since it uses more digits than its factorization.

28106694144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 28106694144 in words is "twenty-eight billion, one hundred six million, six hundred ninety-four thousand, one hundred forty-four".