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19341672480 = 2535513172251
BaseRepresentation
bin10010000000110110…
…101000000000100000
31211220221202202200000
4102000312220000200
5304102432004410
612515131100000
71253206334454
oct220066500040
954827682600
1019341672480
118225962899
1238b95a1600
131a93199420
14d16ab8664
1578307adc0
hex480da8020

19341672480 has 576 divisors, whose sum is σ = 78084010368. Its totient is φ = 4478976000.

The previous prime is 19341672479. The next prime is 19341672481. The reversal of 19341672480 is 8427614391.

19341672480 is a `hidden beast` number, since 1 + 9 + 3 + 4 + 167 + 2 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (19341672479) and next prime (19341672481).

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

It is not an unprimeable number, because it can be changed into a prime (19341672481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8591355 + ... + 8593605.

It is an arithmetic number, because the mean of its divisors is an integer number (135562518).

Almost surely, 219341672480 is an apocalyptic number.

19341672480 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 19341672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39042005184).

19341672480 is an abundant number, since it is smaller than the sum of its proper divisors (58742337888).

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

19341672480 is a wasteful number, since it uses less digits than its factorization.

19341672480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 19341672480 in words is "nineteen billion, three hundred forty-one million, six hundred seventy-two thousand, four hundred eighty".