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20823796224 = 29347116521
BaseRepresentation
bin10011011001001100…
…011110101000000000
31222202020122110020000
4103121030132220000
5320121342434344
613322154120000
71335014230110
oct233114365000
958666573200
1020823796224
118916543350
124051a20000
131c6b26cb1a
141017887040
1581d243a69
hex4d931ea00

20823796224 has 400 divisors, whose sum is σ = 77502021696. Its totient is φ = 5407948800.

The previous prime is 20823796193. The next prime is 20823796303. The reversal of 20823796224 is 42269732802.

It is a self number, because there is not a number n which added to its sum of digits gives 20823796224.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3190084 + ... + 3196604.

Almost surely, 220823796224 is an apocalyptic number.

20823796224 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 20823796224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38751010848).

20823796224 is an abundant number, since it is smaller than the sum of its proper divisors (56678225472).

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

20823796224 is an equidigital number, since it uses as much as digits as its factorization.

20823796224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6569 (or 6544 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 20823796224 in words is "twenty billion, eight hundred twenty-three million, seven hundred ninety-six thousand, two hundred twenty-four".