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19343964672 = 29333759641
BaseRepresentation
bin10010000000111111…
…010111101000000000
31211221010002012222000
4102000333113220000
5304104023332142
612515252144000
71253234662314
oct220077275000
954833065860
1019343964672
118227188a6a
1238ba308000
131a937bc856
14d17113b44
1578338014c
hex480fd7a00

19343964672 has 320 divisors, whose sum is σ = 59897059200. Its totient is φ = 6157762560.

The previous prime is 19343964659. The next prime is 19343964683. The reversal of 19343964672 is 27646934391.

It is a happy number.

19343964672 is a `hidden beast` number, since 1 + 93 + 4 + 3 + 96 + 467 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30177472 + ... + 30178112.

It is an arithmetic number, because the mean of its divisors is an integer number (187178310).

Almost surely, 219343964672 is an apocalyptic number.

19343964672 is a gapful number since it is divisible by the number (12) 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 19343964672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29948529600).

19343964672 is an abundant number, since it is smaller than the sum of its proper divisors (40553094528).

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

19343964672 is an equidigital number, since it uses as much as digits as its factorization.

19343964672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 742 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The spelling of 19343964672 in words is "nineteen billion, three hundred forty-three million, nine hundred sixty-four thousand, six hundred seventy-two".