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485646106464 = 2536101320551
BaseRepresentation
bin1110001000100101100…
…00110111111101100000
31201102112111211101000000
413010102300313331200
530424100400401324
61011034105300000
750041522536261
oct7042260677540
91642474741000
10485646106464
11177a63625872
127a155a94600
1336a4742174c
1419710b48968
15c9758e79c9
hex7112c37f60

485646106464 has 168 divisors, whose sum is σ = 1435002830352. Its totient is φ = 161714361600.

The previous prime is 485646106433. The next prime is 485646106469. The reversal of 485646106464 is 464601646584.

485646106464 is a `hidden beast` number, since 4 + 8 + 564 + 6 + 10 + 6 + 4 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 485646106464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485646106469) 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 27 ways as a sum of consecutive naturals, for example, 23620989 + ... + 23641539.

It is an arithmetic number, because the mean of its divisors is an integer number (8541683514).

Almost surely, 2485646106464 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 485646106464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717501415176).

485646106464 is an abundant number, since it is smaller than the sum of its proper divisors (949356723888).

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

485646106464 is a wasteful number, since it uses less digits than its factorization.

485646106464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21592 (or 21569 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 485646106464 in words is "four hundred eighty-five billion, six hundred forty-six million, one hundred six thousand, four hundred sixty-four".