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19423514880 = 28355711811
BaseRepresentation
bin10010000101101110…
…110101000100000000
31212010122202210100000
4102011232311010000
5304234404434010
612531213200000
71255222103160
oct220556650400
955118683300
1019423514880
118268082240
123920a90000
131aa7123293
14d239005a0
1578a3457c0
hex485bb5100

19423514880 has 864 divisors, whose sum is σ = 86996302848. Its totient is φ = 4031078400.

The previous prime is 19423514879. The next prime is 19423514923. The reversal of 19423514880 is 8841532491.

19423514880 is a `hidden beast` number, since 1 + 9 + 423 + 5 + 148 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 23949675 + ... + 23950485.

Almost surely, 219423514880 is an apocalyptic number.

19423514880 is a gapful number since it is divisible by the number (10) 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 19423514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43498151424).

19423514880 is an abundant number, since it is smaller than the sum of its proper divisors (67572787968).

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

19423514880 is an equidigital number, since it uses as much as digits as its factorization.

19423514880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 839 counting only the distinct ones).

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

The spelling of 19423514880 in words is "nineteen billion, four hundred twenty-three million, five hundred fourteen thousand, eight hundred eighty".