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20192312448 = 27357118431
BaseRepresentation
bin10010110011100011…
…100011110010000000
31221010020101202100000
4102303203203302000
5312323212444243
613135355200000
71313245552410
oct226343436200
957106352300
1020192312448
118622041230
123ab6446000
131b9a49ca99
14d97a66640
157d2aa75d3
hex4b38e3c80

20192312448 has 384 divisors, whose sum is σ = 75135191040. Its totient is φ = 5244134400.

The previous prime is 20192312419. The next prime is 20192312449. The reversal of 20192312448 is 84421329102.

20192312448 is a `hidden beast` number, since 20 + 192 + 3 + 1 + 2 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (20192312449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2390793 + ... + 2399223.

It is an arithmetic number, because the mean of its divisors is an integer number (195664560).

Almost surely, 220192312448 is an apocalyptic number.

20192312448 is a gapful number since it is divisible by the number (28) 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 20192312448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37567595520).

20192312448 is an abundant number, since it is smaller than the sum of its proper divisors (54942878592).

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

20192312448 is an equidigital number, since it uses as much as digits as its factorization.

20192312448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8478 (or 8454 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20192312448 in words is "twenty billion, one hundred ninety-two million, three hundred twelve thousand, four hundred forty-eight".