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14775273571968 = 27327132193179233
BaseRepresentation
bin1101011100000010001011…
…1011101100011010000000
31221022111120012221000010100
43113000202323230122000
53414034230013300333
651231400022202400
73053323024110120
oct327004273543200
957274505830110
1014775273571968
114787181816a98
1217a7669283400
138323c1270a00
143911ac900c80
151a951355b213
hexd7022eec680

14775273571968 has 2304 divisors, whose sum is σ = 58144739328000. Its totient is φ = 3512233820160.

The previous prime is 14775273571967. The next prime is 14775273572021. The reversal of 14775273571968 is 86917537257741.

14775273571968 is a `hidden beast` number, since 1 + 4 + 7 + 7 + 527 + 3 + 5 + 7 + 1 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 14775273571896 and 14775273571905.

It is not an unprimeable number, because it can be changed into a prime (14775273571967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 63413191180 + ... + 63413191412.

It is an arithmetic number, because the mean of its divisors is an integer number (25236432000).

Almost surely, 214775273571968 is an apocalyptic number.

14775273571968 is a gapful number since it is divisible by the number (18) 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 14775273571968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29072369664000).

14775273571968 is an abundant number, since it is smaller than the sum of its proper divisors (43369465756032).

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

14775273571968 is a wasteful number, since it uses less digits than its factorization.

14775273571968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 387 counting only the distinct ones).

The product of its digits is 622339200, while the sum is 72.

The spelling of 14775273571968 in words is "fourteen trillion, seven hundred seventy-five billion, two hundred seventy-three million, five hundred seventy-one thousand, nine hundred sixty-eight".