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19349700480 = 2732511227763
BaseRepresentation
bin10010000001010101…
…001111111110000000
31211221111212122000100
4102001111033332000
5304112010403410
612520015122400
71253334511635
oct220125177600
954844778010
1019349700480
11822a446400
123900213400
131a94a4a516
14d17ba818c
15783b148c0
hex48154ff80

19349700480 has 288 divisors, whose sum is σ = 73446052680. Its totient is φ = 4690667520.

The previous prime is 19349700439. The next prime is 19349700511. The reversal of 19349700480 is 8400794391.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 683079 + ... + 710841.

Almost surely, 219349700480 is an apocalyptic number.

19349700480 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 19349700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36723026340).

19349700480 is an abundant number, since it is smaller than the sum of its proper divisors (54096352200).

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

19349700480 is a wasteful number, since it uses less digits than its factorization.

19349700480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27810 (or 27784 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 19349700480 in words is "nineteen billion, three hundred forty-nine million, seven hundred thousand, four hundred eighty".