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20410472448 = 211331919427
BaseRepresentation
bin10011000000100011…
…110001100000000000
31221200102220102121000
4103000203301200000
5313300040104243
613213151132000
71321535103402
oct230043614000
957612812530
1020410472448
1187241a8053
123b57514000
131c03744b42
14db8a14b72
157e6cec5d3
hex4c08f1800

20410472448 has 192 divisors, whose sum is σ = 63646128000. Its totient is φ = 6445080576.

The previous prime is 20410472443. The next prime is 20410472503. The reversal of 20410472448 is 84427401402.

20410472448 is a `hidden beast` number, since 204 + 1 + 0 + 4 + 7 + 2 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×204104724482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20410472443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1040911 + ... + 1060337.

It is an arithmetic number, because the mean of its divisors is an integer number (331490250).

Almost surely, 220410472448 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 20410472448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31823064000).

20410472448 is an abundant number, since it is smaller than the sum of its proper divisors (43235655552).

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

20410472448 is a wasteful number, since it uses less digits than its factorization.

20410472448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19477 (or 19451 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 20410472448 in words is "twenty billion, four hundred ten million, four hundred seventy-two thousand, four hundred forty-eight".