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20544257376 = 25321719269821
BaseRepresentation
bin10011001000100010…
…000111110101100000
31222000202122102000100
4103020202013311200
5314033312214001
613234330422400
71325051210046
oct231042076540
958022572010
1020544257376
118792774705
123b94291a00
131c25387316
14dcc6bc396
15803927586
hex4c8887d60

20544257376 has 288 divisors, whose sum is σ = 65436789600. Its totient is φ = 6075924480.

The previous prime is 20544257353. The next prime is 20544257423. The reversal of 20544257376 is 67375244502.

20544257376 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 4 + 2 + 573 + 76 = 666.

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

It is a super-2 number, since 2×205442573762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 25023046 + ... + 25023866.

It is an arithmetic number, because the mean of its divisors is an integer number (227211075).

Almost surely, 220544257376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20544257376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32718394800).

20544257376 is an abundant number, since it is smaller than the sum of its proper divisors (44892532224).

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

20544257376 is a wasteful number, since it uses less digits than its factorization.

20544257376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 20544257376 in words is "twenty billion, five hundred forty-four million, two hundred fifty-seven thousand, three hundred seventy-six".