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19543325472 = 253211101103593
BaseRepresentation
bin10010001100110111…
…110111101100100000
31212110000012210120100
4102030313313230200
5310011042403342
612551133142400
71261205345166
oct221467675440
955400183510
1019543325472
118319774760
12395502aa00
131ac5bb1c18
14d357ab236
15795b0ee4c
hex48cdf7b20

19543325472 has 288 divisors, whose sum is σ = 61927721856. Its totient is φ = 5796864000.

The previous prime is 19543325419. The next prime is 19543325491. The reversal of 19543325472 is 27452334591.

It is a happy number.

19543325472 is a `hidden beast` number, since 1 + 9 + 543 + 32 + 5 + 4 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32956408 + ... + 32957000.

It is an arithmetic number, because the mean of its divisors is an integer number (215026812).

Almost surely, 219543325472 is an apocalyptic number.

19543325472 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 19543325472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30963860928).

19543325472 is an abundant number, since it is smaller than the sum of its proper divisors (42384396384).

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

19543325472 is a wasteful number, since it uses less digits than its factorization.

19543325472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 813 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 19543325472 in words is "nineteen billion, five hundred forty-three million, three hundred twenty-five thousand, four hundred seventy-two".