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28193294982384 = 24327314012249983
BaseRepresentation
bin1100110100100010000110…
…10101010001110011110000
310200211020211012110101222200
412122101003111101303300
512143404332003414014
6135543453152303200
75636620063206630
oct632210325216360
9120736735411880
1028193294982384
118a8a7890244a4
1231b4071541b00
1312968020530cc
146d67c42ca6c0
1533d58b7c3a09
hex19a443551cf0

28193294982384 has 240 divisors, whose sum is σ = 93314792423424. Its totient is φ = 7775937792000.

The previous prime is 28193294982383. The next prime is 28193294982439. The reversal of 28193294982384 is 48328949239182.

28193294982384 is a `hidden beast` number, since 2 + 8 + 1 + 9 + 32 + 9 + 498 + 23 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28193294982383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11405457 + ... + 13655439.

Almost surely, 228193294982384 is an apocalyptic number.

28193294982384 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 28193294982384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46657396211712).

28193294982384 is an abundant number, since it is smaller than the sum of its proper divisors (65121497441040).

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

28193294982384 is a wasteful number, since it uses less digits than its factorization.

28193294982384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250436 (or 2250427 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 72.

The spelling of 28193294982384 in words is "twenty-eight trillion, one hundred ninety-three billion, two hundred ninety-four million, nine hundred eighty-two thousand, three hundred eighty-four".