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19383468480 = 2637527697
BaseRepresentation
bin10010000011010110…
…000100000111000000
31212000212102020000000
4102003112010013000
5304144131442410
612523223000000
71254224522625
oct220326040700
955025366000
1019383468480
11824750a842
12390b599000
131a9ba4159c
14d1c47834c
15786a84dc0
hex4835841c0

19383468480 has 224 divisors, whose sum is σ = 69227273280. Its totient is φ = 5168738304.

The previous prime is 19383468457. The next prime is 19383468521. The reversal of 19383468480 is 8486438391.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685992 + ... + 713688.

Almost surely, 219383468480 is an apocalyptic number.

19383468480 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 19383468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34613636640).

19383468480 is an abundant number, since it is smaller than the sum of its proper divisors (49843804800).

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

19383468480 is an frugal number, since it uses more digits than its factorization.

19383468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27735 (or 27707 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 19383468480 in words is "nineteen billion, three hundred eighty-three million, four hundred sixty-eight thousand, four hundred eighty".